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88525920 = 2535726347
BaseRepresentation
bin1010100011011…
…00110001100000
320011120120201210
411101230301200
5140130312140
612441230120
72123313030
oct521546140
9204516653
1088525920
1145a7491a
1225792340
1315457002
14ba858c0
157b89d80
hex546cc60

88525920 has 96 divisors (see below), whose sum is σ = 318705408. Its totient is φ = 20233728.

The previous prime is 88525907. The next prime is 88525937. The reversal of 88525920 is 2952588.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 9814 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (3319848).

Almost surely, 288525920 is an apocalyptic number.

88525920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88525920 is an abundant number, since it is smaller than the sum of its proper divisors (230179488).

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

88525920 is a wasteful number, since it uses less digits than its factorization.

88525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26372 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 88525920 is about 9408.8213927144. The cubic root of 88525920 is about 445.6803463403.

The spelling of 88525920 in words is "eighty-eight million, five hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 26347 52694 79041 105388 131735 158082 184429 210776 263470 316164 368858 395205 421552 526940 553287 632328 737716 790410 843104 922145 1053880 1106574 1264656 1475432 1580820 1844290 2107760 2213148 2529312 2766435 2950864 3161640 3688580 4215520 4426296 5532870 5901728 6323280 7377160 8852592 11065740 12646560 14754320 17705184 22131480 29508640 44262960 88525920