Search a number
-
+
156046536 = 233217232241
BaseRepresentation
bin10010100110100…
…01010011001000
3101212121222121100
421103101103020
5304421442121
623252341400
73603242112
oct1123212310
9355558540
10156046536
11800a2088
1244314860
1326438139
1416a203b2
15da76026
hex94d14c8

156046536 has 144 divisors (see below), whose sum is σ = 469729260. Its totient is φ = 46632960.

The previous prime is 156046531. The next prime is 156046537. The reversal of 156046536 is 635640651.

156046536 is a `hidden beast` number, since 1 + 560 + 4 + 65 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144144036 + 11902500 = 12006^2 + 3450^2 .

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 156046536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156046531) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 647376 + ... + 647616.

Almost surely, 2156046536 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 156046536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234864630).

156046536 is an abundant number, since it is smaller than the sum of its proper divisors (313682724).

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

156046536 is a wasteful number, since it uses less digits than its factorization.

156046536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 156046536 is about 12491.8587888272. The cubic root of 156046536 is about 538.3747843447.

The spelling of 156046536 in words is "one hundred fifty-six million, forty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 241 276 306 391 408 414 482 529 552 612 723 782 828 964 1058 1173 1224 1446 1564 1587 1656 1928 2116 2169 2346 2892 3128 3174 3519 4097 4232 4338 4692 4761 5543 5784 6348 7038 8194 8676 8993 9384 9522 11086 12291 12696 14076 16388 16629 17352 17986 19044 22172 24582 26979 28152 32776 33258 35972 36873 38088 44344 49164 49887 53958 66516 71944 73746 80937 94231 98328 99774 107916 127489 133032 147492 161874 188462 199548 215832 254978 282693 294984 323748 376924 382467 399096 509956 565386 647496 753848 764934 848079 1019912 1130772 1147401 1529868 1696158 2167313 2261544 2294802 3059736 3392316 4334626 4589604 6501939 6784632 8669252 9179208 13003878 17338504 19505817 26007756 39011634 52015512 78023268 156046536