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87897504 = 25343107199
BaseRepresentation
bin1010011110100…
…11010110100000
320010101122201010
411033103112200
5140000210004
612415540520
72115054642
oct517232640
9203348633
1087897504
1145685772
122552a740
1315296c76
14b960892
157ab3a89
hex53d35a0

87897504 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 28207872.

The previous prime is 87897451. The next prime is 87897517. The reversal of 87897504 is 40579878.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441597 + ... + 441795.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 287897504 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 87897504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

87897504 is an abundant number, since it is smaller than the sum of its proper divisors (151603296).

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

87897504 is a wasteful number, since it uses less digits than its factorization.

87897504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 87897504 is about 9375.3668728216. The cubic root of 87897504 is about 444.6232623410.

The spelling of 87897504 in words is "eighty-seven million, eight hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 107 129 172 199 214 258 321 344 398 428 516 597 642 688 796 856 1032 1194 1284 1376 1592 1712 2064 2388 2568 3184 3424 4128 4601 4776 5136 6368 8557 9202 9552 10272 13803 17114 18404 19104 21293 25671 27606 34228 36808 42586 51342 55212 63879 68456 73616 85172 102684 110424 127758 136912 147232 170344 205368 220848 255516 273824 340688 410736 441696 511032 681376 821472 915599 1022064 1831198 2044128 2746797 3662396 5493594 7324792 10987188 14649584 21974376 29299168 43948752 87897504