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672993792 = 293389547
BaseRepresentation
bin101000000111010…
…001001000000000
31201220100121221000
4220013101020000
52334241300132
6150440332000
722451232012
oct5007211000
91656317830
10672993792
11315984219
12169474000
13a9574ca3
14655481b2
153e13a87c
hex281d1200

672993792 has 160 divisors (see below), whose sum is σ = 2018174400. Its totient is φ = 221405184.

The previous prime is 672993791. The next prime is 672993793. The reversal of 672993792 is 297399276.

It is an interprime number because it is at equal distance from previous prime (672993791) and next prime (672993793).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672993791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230063 + ... + 1230609.

It is an arithmetic number, because the mean of its divisors is an integer number (12613590).

Almost surely, 2672993792 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 672993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009087200).

672993792 is an abundant number, since it is smaller than the sum of its proper divisors (1345180608).

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

672993792 is an equidigital number, since it uses as much as digits as its factorization.

672993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 672993792 is about 25942.1238914627. The cubic root of 672993792 is about 876.3353941833.

The spelling of 672993792 in words is "six hundred seventy-two million, nine hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 216 256 267 288 356 384 432 512 534 547 576 712 768 801 864 1068 1094 1152 1424 1536 1602 1641 1728 2136 2188 2304 2403 2848 3204 3282 3456 4272 4376 4608 4806 4923 5696 6408 6564 6912 8544 8752 9612 9846 11392 12816 13128 13824 14769 17088 17504 19224 19692 22784 25632 26256 29538 34176 35008 38448 39384 45568 48683 51264 52512 59076 68352 70016 76896 78768 97366 102528 105024 118152 136704 140032 146049 153792 157536 194732 205056 210048 236304 280064 292098 307584 315072 389464 410112 420096 438147 472608 584196 615168 630144 778928 840192 876294 945216 1168392 1230336 1260288 1314441 1557856 1752588 1890432 2336784 2520576 2628882 3115712 3505176 3780864 4673568 5257764 6231424 7010352 7561728 9347136 10515528 12462848 14020704 18694272 21031056 24925696 28041408 37388544 42062112 56082816 74777088 84124224 112165632 168248448 224331264 336496896 672993792