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672949632 = 27312713799
BaseRepresentation
bin101000000111000…
…110010110000000
31201220021101100110
4220013012112000
52334233342012
6150435351320
722450656165
oct5007062600
91656241313
10672949632
11315954023
12169452540
13a955ab64
146553606c
153e12c73c
hex281c6580

672949632 has 64 divisors (see below), whose sum is σ = 1801728000. Its totient is φ = 222534144.

The previous prime is 672949609. The next prime is 672949633. The reversal of 672949632 is 236949276.

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

It is a super-2 number, since 2×6729496322 = 905722414417870848, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672949633) 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, 41869 + ... + 55667.

It is an arithmetic number, because the mean of its divisors is an integer number (28152000).

Almost surely, 2672949632 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 672949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900864000).

672949632 is an abundant number, since it is smaller than the sum of its proper divisors (1128778368).

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

672949632 is a wasteful number, since it uses less digits than its factorization.

672949632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13943 (or 13931 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 672949632 is about 25941.2727521222. The cubic root of 672949632 is about 876.3162261920.

The spelling of 672949632 in words is "six hundred seventy-two million, nine hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 13799 16256 24384 27598 41397 48768 55196 82794 110392 165588 220784 331176 441568 662352 883136 1324704 1752473 1766272 2649408 3504946 5257419 5298816 7009892 10514838 14019784 21029676 28039568 42059352 56079136 84118704 112158272 168237408 224316544 336474816 672949632