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87974656 = 287114463
BaseRepresentation
bin1010011111001…
…10001100000000
320010112120112121
411033212030000
5140010142111
612421334024
72115525610
oct517461400
9203476477
1087974656
1145728730
1225567314
13152c3113
14b980a40
157acb871
hex53e6300

87974656 has 72 divisors (see below), whose sum is σ = 218985984. Its totient is φ = 34268160.

The previous prime is 87974639. The next prime is 87974699. The reversal of 87974656 is 65647978.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17481 + ... + 21943.

It is an arithmetic number, because the mean of its divisors is an integer number (3041472).

Almost surely, 287974656 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 87974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992).

87974656 is an abundant number, since it is smaller than the sum of its proper divisors (131011328).

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

87974656 is a wasteful number, since it uses less digits than its factorization.

87974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4483 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 87974656 is about 9379.4805826336. The cubic root of 87974656 is about 444.7533135962.

The spelling of 87974656 in words is "eighty-seven million, nine hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4463 4928 8926 9856 17852 19712 31241 35704 49093 62482 71408 98186 124964 142816 196372 249928 285632 343651 392744 499856 571264 687302 785488 999712 1142528 1374604 1570976 1999424 2749208 3141952 3998848 5498416 6283904 7997696 10996832 12567808 21993664 43987328 87974656