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607968256 = 210789953
BaseRepresentation
bin100100001111001…
…101110000000000
31120100222222122211
4210033031300000
52221114441011
6140154511504
721031434130
oct4417156000
91510888584
10607968256
11292200605
1214b735594
1398c5873c
145aa5cac0
1538593b21
hex243cdc00

607968256 has 88 divisors (see below), whose sum is σ = 1406043360. Its totient is φ = 257359872.

The previous prime is 607968241. The next prime is 607968281. The reversal of 607968256 is 652869706.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 637476 + ... + 638428.

Almost surely, 2607968256 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 607968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703021680).

607968256 is an abundant number, since it is smaller than the sum of its proper divisors (798075104).

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

607968256 is an equidigital number, since it uses as much as digits as its factorization.

607968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 607968256 is about 24657.0123088747. The cubic root of 607968256 is about 847.1499729558.

The spelling of 607968256 in words is "six hundred seven million, nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 953 1024 1246 1424 1792 1906 2492 2848 3584 3812 4984 5696 6671 7168 7624 9968 11392 13342 15248 19936 22784 26684 30496 39872 45568 53368 60992 79744 84817 91136 106736 121984 159488 169634 213472 243968 318976 339268 426944 487936 593719 637952 678536 853888 975872 1187438 1357072 1707776 2374876 2714144 3415552 4749752 5428288 6831104 9499504 10856576 18999008 21713152 37998016 43426304 75996032 86852608 151992064 303984128 607968256