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672896544 = 25367233449
BaseRepresentation
bin101000000110111…
…001011000100000
31201220011200112020
4220012321120200
52334230142134
6150434301440
722450345335
oct5006713040
91656150466
10672896544
11315918151
12169427880
13a953c948
146552098c
153e11bb49
hex281b9620

672896544 has 96 divisors (see below), whose sum is σ = 1804420800. Its totient is φ = 219512832.

The previous prime is 672896503. The next prime is 672896557. The reversal of 672896544 is 445698276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 1498432 + ... + 1498880.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2672896544 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 672896544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

672896544 is an abundant number, since it is smaller than the sum of its proper divisors (1131524256).

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

672896544 is a wasteful number, since it uses less digits than its factorization.

672896544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 672896544 is about 25940.2494976436. The cubic root of 672896544 is about 876.2931818229.

The spelling of 672896544 in words is "six hundred seventy-two million, eight hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 233 268 402 449 466 536 699 804 898 932 1072 1347 1398 1608 1796 1864 2144 2694 2796 3216 3592 3728 5388 5592 6432 7184 7456 10776 11184 14368 15611 21552 22368 30083 31222 43104 46833 60166 62444 90249 93666 104617 120332 124888 180498 187332 209234 240664 249776 313851 360996 374664 418468 481328 499552 627702 721992 749328 836936 962656 1255404 1443984 1498656 1673872 2510808 2887968 3347744 5021616 7009339 10043232 14018678 21028017 28037356 42056034 56074712 84112068 112149424 168224136 224298848 336448272 672896544