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87252704 = 25711172083
BaseRepresentation
bin1010011001101…
…01111011100000
320002011220012122
411030311323200
5134314041304
612354043412
72106431030
oct514657340
9202156178
1087252704
1145285280
1225279568
13150cc626
14b8338c0
1579d79be
hex5335ee0

87252704 has 96 divisors (see below), whose sum is σ = 226872576. Its totient is φ = 31979520.

The previous prime is 87252703. The next prime is 87252713. The reversal of 87252704 is 40725278.

It is a super-2 number, since 2×872527042 = 15226068710623232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87252701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40847 + ... + 42929.

It is an arithmetic number, because the mean of its divisors is an integer number (2363256).

Almost surely, 287252704 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 87252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113436288).

87252704 is an abundant number, since it is smaller than the sum of its proper divisors (139619872).

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

87252704 is a wasteful number, since it uses less digits than its factorization.

87252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 87252704 is about 9340.9155868148. The cubic root of 87252704 is about 443.5333679366.

The spelling of 87252704 in words is "eighty-seven million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 2083 2464 2618 2992 3808 4166 5236 5984 8332 10472 14581 16664 20944 22913 29162 33328 35411 41888 45826 58324 66656 70822 91652 116648 141644 160391 183304 233296 247877 283288 320782 366608 389521 466592 495754 566576 641564 733216 779042 991508 1133152 1283128 1558084 1983016 2566256 2726647 3116168 3966032 5132512 5453294 6232336 7932064 10906588 12464672 21813176 43626352 87252704