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32672664 = 23321074241
BaseRepresentation
bin111110010100…
…0101110011000
32021110221110200
41330220232120
531331011124
63124142200
7544466403
oct174505630
967427420
1032672664
1117496502
12ab37960
1369cc64b
1444a6d3a
152d05bc9
hex1f28b98

32672664 has 48 divisors (see below), whose sum is σ = 89336520. Its totient is φ = 10786560.

The previous prime is 32672663. The next prime is 32672669. The reversal of 32672664 is 46627623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32672663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5584 + ... + 9824.

Almost surely, 232672664 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 32672664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44668260).

32672664 is an abundant number, since it is smaller than the sum of its proper divisors (56663856).

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

32672664 is a wasteful number, since it uses less digits than its factorization.

32672664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4353 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 32672664 is about 5716.0006997900. Note that the first 3 decimals coincide. The cubic root of 32672664 is about 319.6893600021.

The spelling of 32672664 in words is "thirty-two million, six hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 4241 7704 8482 12723 16964 25446 33928 38169 50892 76338 101784 152676 305352 453787 907574 1361361 1815148 2722722 3630296 4084083 5445444 8168166 10890888 16336332 32672664