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672082944 = 21031316829
BaseRepresentation
bin101000000011110…
…010110000000000
31201211122100110220
4220003302300000
52334023123234
6150405023040
722440416331
oct5003626000
91654570426
10672082944
11315411955
121690b4a80
13a9316520
146538c288
153e00aa49
hex280f2c00

672082944 has 88 divisors (see below), whose sum is σ = 1929256560. Its totient is φ = 206782464.

The previous prime is 672082921. The next prime is 672082979. The reversal of 672082944 is 449280276.

It is a junction number, because it is equal to n+sod(n) for n = 672082896 and 672082905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31522 + ... + 48350.

It is an arithmetic number, because the mean of its divisors is an integer number (21923370).

Almost surely, 2672082944 is an apocalyptic number.

672082944 is a gapful number since it is divisible by the number (64) 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 672082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964628280).

672082944 is an abundant number, since it is smaller than the sum of its proper divisors (1257173616).

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

672082944 is a wasteful number, since it uses less digits than its factorization.

672082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 672082944 is about 25924.5625614011. The cubic root of 672082944 is about 875.9398636811.

The spelling of 672082944 in words is "six hundred seventy-two million, eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 16829 19968 33658 39936 50487 67316 100974 134632 201948 218777 269264 403896 437554 538528 656331 807792 875108 1077056 1312662 1615584 1750216 2154112 2625324 3231168 3500432 4308224 5250648 6462336 7000864 8616448 10501296 12924672 14001728 17232896 21002592 25849344 28003456 42005184 51698688 56006912 84010368 112013824 168020736 224027648 336041472 672082944