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672373632 = 2737318069
BaseRepresentation
bin101000000100111…
…001101110000000
31201212012010020010
4220010321232000
52334111424012
6150415144520
722443036660
oct5004715600
91655163203
10672373632
113155a0297
12169215140
13a93b8928
14654261a0
153e066c3c
hex28139b80

672373632 has 128 divisors (see below), whose sum is σ = 2107238400. Its totient is φ = 185886720.

The previous prime is 672373619. The next prime is 672373673. The reversal of 672373632 is 236373276.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79294 + ... + 87362.

It is an arithmetic number, because the mean of its divisors is an integer number (16462800).

Almost surely, 2672373632 is an apocalyptic number.

672373632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672373632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053619200).

672373632 is an abundant number, since it is smaller than the sum of its proper divisors (1434864768).

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

672373632 is a wasteful number, since it uses less digits than its factorization.

672373632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8112 counting only the distinct ones).

The product of its digits is 190512, while the sum is 39.

The square root of 672373632 is about 25930.1683758513. The cubic root of 672373632 is about 876.0661320771.

The spelling of 672373632 in words is "six hundred seventy-two million, three hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 8069 10416 11904 13888 16138 20832 24207 27776 32276 41664 48414 56483 64552 83328 96828 112966 129104 169449 193656 225932 250139 258208 338898 387312 451864 500278 516416 677796 750417 774624 903728 1000556 1032832 1355592 1500834 1549248 1750973 1807456 2001112 2711184 3001668 3098496 3501946 3614912 4002224 5252919 5422368 6003336 7003892 7229824 8004448 10505838 10844736 12006672 14007784 16008896 21011676 21689472 24013344 28015568 32017792 42023352 48026688 56031136 84046704 96053376 112062272 168093408 224124544 336186816 672373632