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87928704 = 2732127601
BaseRepresentation
bin1010011110110…
…10111110000000
320010110020111200
411033122332000
5140002204304
612420341200
72115244623
oct517327600
9203406450
1087928704
11456a7156
1225544800
13152a8226
14b96bdba
157abce39
hex53daf80

87928704 has 96 divisors (see below), whose sum is σ = 255440640. Its totient is φ = 29030400.

The previous prime is 87928699. The next prime is 87928717. The reversal of 87928704 is 40782978.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87928704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146004 + ... + 146604.

It is an arithmetic number, because the mean of its divisors is an integer number (2660840).

Almost surely, 287928704 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 87928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127720320).

87928704 is an abundant number, since it is smaller than the sum of its proper divisors (167511936).

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

87928704 is a wasteful number, since it uses less digits than its factorization.

87928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87928704 is about 9377.0306600757. The cubic root of 87928704 is about 444.6758637768.

The spelling of 87928704 in words is "eighty-seven million, nine hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 601 762 1016 1143 1152 1202 1524 1803 2032 2286 2404 3048 3606 4064 4572 4808 5409 6096 7212 8128 9144 9616 10818 12192 14424 16256 18288 19232 21636 24384 28848 36576 38464 43272 48768 57696 73152 76327 76928 86544 115392 146304 152654 173088 228981 230784 305308 346176 457962 610616 686943 692352 915924 1221232 1373886 1831848 2442464 2747772 3663696 4884928 5495544 7327392 9769856 10991088 14654784 21982176 29309568 43964352 87928704