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88481952 = 25321323633
BaseRepresentation
bin1010100011000…
…10000010100000
320011111100102100
411101202002200
5140122410302
612440250400
72123040606
oct521420240
9204440370
1088481952
1145a44889
1225770a00
131543ccb0
14ba73876
157b7bd1c
hex54620a0

88481952 has 72 divisors (see below), whose sum is σ = 270987444. Its totient is φ = 27224064.

The previous prime is 88481947. The next prime is 88481969. The reversal of 88481952 is 25918488.

It is a happy number.

88481952 is a `hidden beast` number, since 88 + 481 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 197136 = 9396^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 88481898 and 88481907.

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, 8073 + ... + 15560.

Almost surely, 288481952 is an apocalyptic number.

It is an amenable number.

88481952 is an abundant number, since it is smaller than the sum of its proper divisors (182505492).

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

88481952 is a wasteful number, since it uses less digits than its factorization.

88481952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23662 (or 23651 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 88481952 is about 9406.4845718260. The cubic root of 88481952 is about 445.6065490519.

The spelling of 88481952 in words is "eighty-eight million, four hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 23633 47266 70899 94532 141798 189064 212697 283596 307229 378128 425394 567192 614458 756256 850788 921687 1134384 1228916 1701576 1843374 2268768 2457832 2765061 3403152 3686748 4915664 5530122 6806304 7373496 9831328 11060244 14746992 22120488 29493984 44240976 88481952