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89657472 = 2731491567
BaseRepresentation
bin1010101100000…
…01000010000000
320020201001221010
411112001002000
5140423014342
612521400520
72136035022
oct526010200
9206631833
1089657472
1146677a93
1226039140
1315762078
14bc9c012
157d1029c
hex5581080

89657472 has 64 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 29666304.

The previous prime is 89657471. The next prime is 89657479. The reversal of 89657472 is 27475698.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (89657471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56433 + ... + 57999.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 289657472 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 89657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

89657472 is an abundant number, since it is smaller than the sum of its proper divisors (150246528).

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

89657472 is a wasteful number, since it uses less digits than its factorization.

89657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 89657472 is about 9468.7629603872. The cubic root of 89657472 is about 447.5712309237.

The spelling of 89657472 in words is "eighty-nine million, six hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 384 447 596 894 1192 1567 1788 2384 3134 3576 4701 4768 6268 7152 9402 9536 12536 14304 18804 19072 25072 28608 37608 50144 57216 75216 100288 150432 200576 233483 300864 466966 601728 700449 933932 1400898 1867864 2801796 3735728 5603592 7471456 11207184 14942912 22414368 29885824 44828736 89657472