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53409888 = 253378831
BaseRepresentation
bin1100101110111…
…1100001100000
310201111111121000
43023233201200
5102133104023
65144432000
71215655650
oct313574140
9121444530
1053409888
112816a704
1215a78600
13b0b04ac
147144360
154a50243
hex32ef860

53409888 has 96 divisors (see below), whose sum is σ = 178053120. Its totient is φ = 15258240.

The previous prime is 53409883. The next prime is 53409943. The reversal of 53409888 is 88890435.

53409888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×534098882 = 5705232272345088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53409883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (1854720).

Almost surely, 253409888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53409888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89026560).

53409888 is an abundant number, since it is smaller than the sum of its proper divisors (124643232).

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

53409888 is a wasteful number, since it uses less digits than its factorization.

53409888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8843 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 53409888 is about 7308.2068936231. The cubic root of 53409888 is about 376.5944271972.

The spelling of 53409888 in words is "fifty-three million, four hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8831 17662 26493 35324 52986 61817 70648 79479 105972 123634 141296 158958 185451 211944 238437 247268 282592 317916 370902 423888 476874 494536 556353 635832 741804 847776 953748 989072 1112706 1271664 1483608 1669059 1907496 1978144 2225412 2543328 2967216 3338118 3814992 4450824 5934432 6676236 7629984 8901648 13352472 17803296 26704944 53409888