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268658772 = 223314011801
BaseRepresentation
bin10000000000110…
…110100001010100
3200201112021112220
4100000312201110
51022234040042
642354142340
76441363504
oct2000664124
9621467486
10268658772
11128718348
1275b819b0
13438764b5
1427975a04
15188bc8ec
hex10036854

268658772 has 48 divisors (see below), whose sum is σ = 649065984. Its totient is φ = 86400000.

The previous prime is 268658681. The next prime is 268658777. The reversal of 268658772 is 277856862.

It is a happy number.

Its product of digits (2257920) is a multiple of the sum of its prime factors (2240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268658777) 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, 148272 + ... + 150072.

It is an arithmetic number, because the mean of its divisors is an integer number (13522208).

Almost surely, 2268658772 is an apocalyptic number.

It is an amenable number.

268658772 is an abundant number, since it is smaller than the sum of its proper divisors (380407212).

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

268658772 is a wasteful number, since it uses less digits than its factorization.

268658772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2238 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 268658772 is about 16390.8136466742. The cubic root of 268658772 is about 645.2584121704.

The spelling of 268658772 in words is "two hundred sixty-eight million, six hundred fifty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 401 802 1203 1604 1801 2406 3602 4812 5403 7204 10806 12431 21612 24862 37293 49724 55831 74586 111662 149172 167493 223324 334986 669972 722201 1444402 2166603 2888804 4333206 8666412 22388231 44776462 67164693 89552924 134329386 268658772