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87976896 = 263767977
BaseRepresentation
bin1010011111001…
…10101111000000
320010112200121120
411033212233000
5140010230041
612421352240
72115535260
oct517465700
9203480546
1087976896
114572a387
1225568680
13152c4147
14b9817a0
157acc366
hex53e6bc0

87976896 has 112 divisors (see below), whose sum is σ = 270272256. Its totient is φ = 24735744.

The previous prime is 87976877. The next prime is 87976907. The reversal of 87976896 is 69867978.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89560 + ... + 90536.

Almost surely, 287976896 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 87976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136128).

87976896 is an abundant number, since it is smaller than the sum of its proper divisors (182295360).

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

87976896 is a wasteful number, since it uses less digits than its factorization.

87976896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 87976896 is about 9379.5999914709. The cubic root of 87976896 is about 444.7570883158.

The spelling of 87976896 in words is "eighty-seven million, nine hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 134 168 192 201 224 268 336 402 448 469 536 672 804 938 977 1072 1344 1407 1608 1876 1954 2144 2814 2931 3216 3752 3908 4288 5628 5862 6432 6839 7504 7816 11256 11724 12864 13678 15008 15632 20517 22512 23448 27356 30016 31264 41034 45024 46896 54712 62528 65459 82068 90048 93792 109424 130918 164136 187584 196377 218848 261836 328272 392754 437696 458213 523672 656544 785508 916426 1047344 1313088 1374639 1571016 1832852 2094688 2749278 3142032 3665704 4189376 5498556 6284064 7331408 10997112 12568128 14662816 21994224 29325632 43988448 87976896