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89538520 = 23537101599
BaseRepresentation
bin1010101011000…
…11111111011000
320020111000202111
411111203333120
5140410213040
612515042104
72135031151
oct525437730
9206430674
1089538520
11465a6685
1225ba0334
131571cb96
14bc6a928
157cd9dea
hex5563fd8

89538520 has 64 divisors (see below), whose sum is σ = 209304000. Its totient is φ = 34444800.

The previous prime is 89538487. The next prime is 89538523. The reversal of 89538520 is 2583598.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89538523) 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, 149181 + ... + 149779.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 289538520 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 89538520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

89538520 is an abundant number, since it is smaller than the sum of its proper divisors (119765480).

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

89538520 is a wasteful number, since it uses less digits than its factorization.

89538520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 89538520 is about 9462.4795904668. The cubic root of 89538520 is about 447.3732066944.

The spelling of 89538520 in words is "eighty-nine million, five hundred thirty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 101 148 185 202 296 370 404 505 599 740 808 1010 1198 1480 2020 2396 2995 3737 4040 4792 5990 7474 11980 14948 18685 22163 23960 29896 37370 44326 60499 74740 88652 110815 120998 149480 177304 221630 241996 302495 443260 483992 604990 886520 1209980 2238463 2419960 4476926 8953852 11192315 17907704 22384630 44769260 89538520