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264426132 = 223103349613
BaseRepresentation
bin11111100001011…
…01001010010100
3200102120020110110
433300231022110
51020143114012
642123323020
76360404445
oct1760551224
9612506413
10264426132
111262972a3
1274680470
1342a23a89
14271932cc
151833373c
hexfc2d294

264426132 has 48 divisors (see below), whose sum is σ = 625788800. Its totient is φ = 86894208.

The previous prime is 264426121. The next prime is 264426133. The reversal of 264426132 is 231624462.

264426132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 264426132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264426133) 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, 431058 + ... + 431670.

Almost surely, 2264426132 is an apocalyptic number.

It is an amenable number.

264426132 is an abundant number, since it is smaller than the sum of its proper divisors (361362668).

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

264426132 is a wasteful number, since it uses less digits than its factorization.

264426132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 264426132 is about 16261.1848276809. The cubic root of 264426132 is about 641.8518403071.

The spelling of 264426132 in words is "two hundred sixty-four million, four hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 103 206 309 349 412 613 618 698 1047 1226 1236 1396 1839 2094 2452 3678 4188 7356 35947 63139 71894 107841 126278 143788 189417 213937 215682 252556 378834 427874 431364 641811 757668 855748 1283622 2567244 22035511 44071022 66106533 88142044 132213066 264426132