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87079356 = 2232713191399
BaseRepresentation
bin1010011000010…
…11100110111100
320001212002102100
411030023212330
5134243014411
612350225100
72105106450
oct514134674
9201762370
1087079356
1145177011
12251b5190
131506b760
14b7ca660
1579a1456
hex530b9bc

87079356 has 144 divisors (see below), whose sum is σ = 285376000. Its totient is φ = 21741696.

The previous prime is 87079351. The next prime is 87079379. The reversal of 87079356 is 65397078.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87079351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61545 + ... + 62943.

Almost surely, 287079356 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 87079356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688000).

87079356 is an abundant number, since it is smaller than the sum of its proper divisors (198296644).

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

87079356 is a wasteful number, since it uses less digits than its factorization.

87079356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 87079356 is about 9331.6320116044. The cubic root of 87079356 is about 443.2394454481.

The spelling of 87079356 in words is "eighty-seven million, seventy-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1399 1482 1596 1638 1729 2223 2394 2798 2964 3276 3458 4197 4446 4788 5187 5596 6916 8394 8892 9793 10374 12591 15561 16788 18187 19586 20748 25182 26581 29379 31122 36374 39172 50364 53162 54561 58758 62244 72748 79743 88137 106324 109122 117516 127309 159486 163683 176274 186067 218244 239229 254618 318972 327366 345553 352548 372134 381927 478458 509236 558201 654732 691106 744268 763854 956916 1036659 1116402 1145781 1382212 1527708 1674603 2073318 2232804 2291562 2418871 3109977 3349206 4146636 4583124 4837742 6219954 6698412 7256613 9675484 12439908 14513226 21769839 29026452 43539678 87079356