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89634944 = 277711409
BaseRepresentation
bin1010101011110…
…11100010000000
320020122221000202
411111323202000
5140421304234
612521104332
72135612240
oct525734200
9206587022
1089634944
1146662073
12260280a8
1315754a39
14bc93b20
157d0877e
hex557b880

89634944 has 64 divisors (see below), whose sum is σ = 207100800. Its totient is φ = 37847040.

The previous prime is 89634929. The next prime is 89634947. The reversal of 89634944 is 44943698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89634947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62912 + ... + 64320.

It is an arithmetic number, because the mean of its divisors is an integer number (3235950).

Almost surely, 289634944 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 89634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103550400).

89634944 is an abundant number, since it is smaller than the sum of its proper divisors (117465856).

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

89634944 is a wasteful number, since it uses less digits than its factorization.

89634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1489 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 89634944 is about 9467.5732899197. The cubic root of 89634944 is about 447.5337410968.

The spelling of 89634944 in words is "eighty-nine million, six hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1409 1988 2272 2818 3976 4544 5636 7952 9088 9863 11272 15904 19726 22544 31808 39452 45088 63616 78904 90176 100039 157808 180352 200078 315616 400156 631232 700273 800312 1262464 1400546 1600624 2801092 3201248 5602184 6402496 11204368 12804992 22408736 44817472 89634944