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87434256 = 24371337541
BaseRepresentation
bin1010011011000…
…10010000010000
320002112010020210
411031202100100
5134340344011
612402004120
72111115240
oct515422020
9202463223
1087434256
1145399718
1225346640
1315164160
14b87db20
157a216a6
hex5362410

87434256 has 160 divisors (see below), whose sum is σ = 286037248. Its totient is φ = 22394880.

The previous prime is 87434231. The next prime is 87434267. The reversal of 87434256 is 65243478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161346 + ... + 161886.

Almost surely, 287434256 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 87434256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143018624).

87434256 is an abundant number, since it is smaller than the sum of its proper divisors (198602992).

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

87434256 is a wasteful number, since it uses less digits than its factorization.

87434256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 87434256 is about 9350.6286419684. The cubic root of 87434256 is about 443.8407837535.

The spelling of 87434256 in words is "eighty-seven million, four hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 541 546 592 624 728 777 888 962 1036 1082 1092 1443 1456 1554 1623 1776 1924 2072 2164 2184 2886 3108 3246 3367 3787 3848 4144 4328 4368 5772 6216 6492 6734 7033 7574 7696 8656 10101 11361 11544 12432 12984 13468 14066 15148 20017 20202 21099 22722 23088 25968 26936 28132 30296 40034 40404 42198 45444 49231 53872 56264 60051 60592 80068 80808 84396 90888 98462 112528 120102 140119 147693 160136 161616 168792 181776 196924 240204 260221 280238 295386 320272 337584 393848 420357 480408 520442 560476 590772 780663 787696 840714 960816 1040884 1120952 1181544 1561326 1681428 1821547 2081768 2241904 2363088 3122652 3362856 3643094 4163536 5464641 6245304 6725712 7286188 10929282 12490608 14572376 21858564 29144752 43717128 87434256