Search a number
-
+
674225856 = 26374817
BaseRepresentation
bin101000001011111…
…101111011000000
31201222200020000000
4220023331323000
52340100211411
6150523000000
722464553023
oct5013757300
91658606000
10674225856
11316645957
12169969000
13a98b6a15
14657891ba
153e2d0956
hex282fdec0

674225856 has 112 divisors (see below), whose sum is σ = 2006986080. Its totient is φ = 224695296.

The previous prime is 674225837. The next prime is 674225873. The reversal of 674225856 is 658522476.

674225856 is a `hidden beast` number, since 67 + 4 + 2 + 2 + 585 + 6 = 666.

674225856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137560 + ... + 142376.

Almost surely, 2674225856 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 674225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003493040).

674225856 is an abundant number, since it is smaller than the sum of its proper divisors (1332760224).

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

674225856 is an frugal number, since it uses more digits than its factorization.

674225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4822 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 674225856 is about 25965.8594311839. The cubic root of 674225856 is about 876.8698434338.

The spelling of 674225856 in words is "six hundred seventy-four million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 4817 5184 5832 7776 8748 9634 11664 14451 15552 17496 19268 23328 28902 34992 38536 43353 46656 57804 69984 77072 86706 115608 130059 139968 154144 173412 231216 260118 308288 346824 390177 462432 520236 693648 780354 924864 1040472 1170531 1387296 1560708 2080944 2341062 2774592 3121416 3511593 4161888 4682124 6242832 7023186 8323776 9364248 10534779 12485664 14046372 18728496 21069558 24971328 28092744 37456992 42139116 56185488 74913984 84278232 112370976 168556464 224741952 337112928 674225856