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155087296 = 2671331859
BaseRepresentation
bin10010011111001…
…11000111000000
3101210211020202221
421033213013000
5304200243141
623220020424
73562135360
oct1117470700
9353736687
10155087296
117a5a7421
1243b31714
1326190640
14168509a0
15d936bd1
hex93e71c0

155087296 has 112 divisors (see below), whose sum is σ = 391444480. Its totient is φ = 59304960.

The previous prime is 155087293. The next prime is 155087299. The reversal of 155087296 is 692780551.

It is an interprime number because it is at equal distance from previous prime (155087293) and next prime (155087299).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155087293) 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, 180115 + ... + 180973.

It is an arithmetic number, because the mean of its divisors is an integer number (3495040).

Almost surely, 2155087296 is an apocalyptic number.

155087296 is a gapful number since it is divisible by the number (16) 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 155087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195722240).

155087296 is an abundant number, since it is smaller than the sum of its proper divisors (236357184).

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

155087296 is a wasteful number, since it uses less digits than its factorization.

155087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 155087296 is about 12453.4049962249. The cubic root of 155087296 is about 537.2693610083.

The spelling of 155087296 in words is "one hundred fifty-five million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 859 868 992 1456 1612 1718 1736 1984 2821 2912 3224 3436 3472 5642 5824 6013 6448 6872 6944 11167 11284 12026 12896 13744 13888 22334 22568 24052 25792 26629 27488 44668 45136 48104 53258 54976 78169 89336 90272 96208 106516 156338 178672 180544 186403 192416 213032 312676 346177 357344 372806 384832 426064 625352 692354 714688 745612 852128 1250704 1384708 1491224 1704256 2423239 2501408 2769416 2982448 4846478 5002816 5538832 5964896 9692956 11077664 11929792 19385912 22155328 38771824 77543648 155087296