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87418368 = 293261311
BaseRepresentation
bin1010011010111…
…10011000000000
320002111022110100
411031132120000
5134334341433
612401402400
72111021022
oct515363000
9202438410
1087418368
1145388794
1225339400
1315159b5b
14b878012
157a1bb13
hex535e600

87418368 has 120 divisors (see below), whose sum is σ = 257255856. Its totient is φ = 28569600.

The previous prime is 87418337. The next prime is 87418379. The reversal of 87418368 is 86381478.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 280933 + ... + 281243.

Almost surely, 287418368 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 87418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128627928).

87418368 is an abundant number, since it is smaller than the sum of its proper divisors (169837488).

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

87418368 is a wasteful number, since it uses less digits than its factorization.

87418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 87418368 is about 9349.7790348222. The cubic root of 87418368 is about 443.8138981449.

The spelling of 87418368 in words is "eighty-seven million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 311 366 384 488 512 549 576 622 732 768 933 976 1098 1152 1244 1464 1536 1866 1952 2196 2304 2488 2799 2928 3732 3904 4392 4608 4976 5598 5856 7464 7808 8784 9952 11196 11712 14928 15616 17568 18971 19904 22392 23424 29856 31232 35136 37942 39808 44784 46848 56913 59712 70272 75884 79616 89568 93696 113826 119424 140544 151768 159232 170739 179136 227652 238848 281088 303536 341478 358272 455304 477696 607072 682956 716544 910608 1214144 1365912 1433088 1821216 2428288 2731824 3642432 4856576 5463648 7284864 9713152 10927296 14569728 21854592 29139456 43709184 87418368