Search a number
-
+
539423136 = 25327475693
BaseRepresentation
bin100000001001101…
…111000110100000
31101121000112102200
4200021233012200
52101043020021
6125305413200
716240010130
oct4011570640
91347015380
10539423136
1125754364a
1213079a200
13879a91b5
14518d8ac0
1532554126
hex2026f1a0

539423136 has 144 divisors (see below), whose sum is σ = 1790740224. Its totient is φ = 150815232.

The previous prime is 539423119. The next prime is 539423153. The reversal of 539423136 is 631324935.

It is a happy number.

539423136 is a `hidden beast` number, since 5 + 394 + 231 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (539423119) and next prime (539423153).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 539423136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91906 + ... + 97598.

It is an arithmetic number, because the mean of its divisors is an integer number (12435696).

Almost surely, 2539423136 is an apocalyptic number.

539423136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 539423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895370112).

539423136 is an abundant number, since it is smaller than the sum of its proper divisors (1251317088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

539423136 is a wasteful number, since it uses less digits than its factorization.

539423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5752 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 539423136 is about 23225.4846235767. The cubic root of 539423136 is about 814.0352094754.

The spelling of 539423136 in words is "five hundred thirty-nine million, four hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5693 5922 6768 7896 10528 11386 11844 13536 15792 17079 22772 23688 31584 34158 39851 45544 47376 51237 68316 79702 91088 94752 102474 119553 136632 159404 182176 204948 239106 267571 273264 318808 358659 409896 478212 535142 546528 637616 717318 802713 819792 956424 1070284 1275232 1434636 1605426 1639584 1872997 1912848 2140568 2408139 2869272 3210852 3745994 3825696 4281136 4816278 5618991 5738544 6421704 7491988 8562272 9632556 11237982 11477088 12843408 14983976 16856973 19265112 22475964 25686816 29967952 33713946 38530224 44951928 59935904 67427892 77060448 89903856 134855784 179807712 269711568 539423136