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156859164 = 223271171797
BaseRepresentation
bin10010101100101…
…11101100011100
3101221011021022200
421112113230130
5310123443124
623322011500
73613165230
oct1126275434
9357137280
10156859164
11805a7680
1244646b90
1326660c97
1416b925c0
15db86bc9
hex9597b1c

156859164 has 144 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 40118400.

The previous prime is 156859133. The next prime is 156859177. The reversal of 156859164 is 461958651.

156859164 is a `hidden beast` number, since 1 + 56 + 8 + 591 + 6 + 4 = 666.

156859164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196414 + ... + 197210.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2156859164 is an apocalyptic number.

156859164 is a gapful number since it is divisible by the number (14) 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 156859164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

156859164 is an abundant number, since it is smaller than the sum of its proper divisors (345076452).

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

156859164 is a wasteful number, since it uses less digits than its factorization.

156859164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 891 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 156859164 is about 12524.3428570125. The cubic root of 156859164 is about 539.3077136832.

The spelling of 156859164 in words is "one hundred fifty-six million, eight hundred fifty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 396 426 462 497 639 693 781 797 852 924 994 1278 1386 1491 1562 1594 1988 2343 2391 2556 2772 2982 3124 3188 4473 4686 4782 5467 5579 5964 7029 7173 8767 8946 9372 9564 10934 11158 14058 14346 16401 16737 17534 17892 21868 22316 26301 28116 28692 32802 33474 35068 49203 50211 52602 56587 61369 65604 66948 78903 98406 100422 105204 113174 122738 157806 169761 184107 196812 200844 226348 245476 315612 339522 368214 396109 509283 552321 622457 679044 736428 792218 1018566 1104642 1188327 1244914 1584436 1867371 2037132 2209284 2376654 2489828 3564981 3734742 4357199 4753308 5602113 7129962 7469484 8714398 11204226 13071597 14259924 17428796 22408452 26143194 39214791 52286388 78429582 156859164