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89153952 = 2536783167
BaseRepresentation
bin1010101000001…
…10000110100000
320012202111020020
411110012012200
5140310411302
612502513440
72131540026
oct524060640
9205674206
1089153952
1146363758
1225a35880
1315616b24
14bbaa716
157c60ebc
hex55061a0

89153952 has 96 divisors (see below), whose sum is σ = 241823232. Its totient is φ = 28748544.

The previous prime is 89153927. The next prime is 89153959. The reversal of 89153952 is 25935198.

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

It is not an unprimeable number, because it can be changed into a prime (89153959) 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, 533773 + ... + 533939.

It is an arithmetic number, because the mean of its divisors is an integer number (2518992).

Almost surely, 289153952 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 89153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120911616).

89153952 is an abundant number, since it is smaller than the sum of its proper divisors (152669280).

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

89153952 is a wasteful number, since it uses less digits than its factorization.

89153952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 89153952 is about 9442.1370462412. The cubic root of 89153952 is about 446.7317981308.

The spelling of 89153952 in words is "eighty-nine million, one hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 83 96 134 166 167 201 249 268 332 334 402 498 501 536 664 668 804 996 1002 1072 1328 1336 1608 1992 2004 2144 2656 2672 3216 3984 4008 5344 5561 6432 7968 8016 11122 11189 13861 16032 16683 22244 22378 27722 33366 33567 41583 44488 44756 55444 66732 67134 83166 88976 89512 110888 133464 134268 166332 177952 179024 221776 266928 268536 332664 358048 443552 533856 537072 665328 928687 1074144 1330656 1857374 2786061 3714748 5572122 7429496 11144244 14858992 22288488 29717984 44576976 89153952