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264425408 = 2613893571
BaseRepresentation
bin11111100001011…
…00111111000000
3200102120012110122
433300230333000
51020143103113
642123315412
76360402362
oct1760547700
9612505418
10264425408
111262967a5
127467bb68
1342a23650
1427192d32
1518333408
hexfc2cfc0

264425408 has 56 divisors (see below), whose sum is σ = 571591440. Its totient is φ = 120637440.

The previous prime is 264425407. The next prime is 264425437. The reversal of 264425408 is 804524462.

264425408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264425401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72263 + ... + 75833.

It is an arithmetic number, because the mean of its divisors is an integer number (10206990).

Almost surely, 2264425408 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 264425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285795720).

264425408 is an abundant number, since it is smaller than the sum of its proper divisors (307166032).

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

264425408 is a wasteful number, since it uses less digits than its factorization.

264425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 264425408 is about 16261.1625660652. The cubic root of 264425408 is about 641.8512545088.

The spelling of 264425408 in words is "two hundred sixty-four million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 178 208 356 416 712 832 1157 1424 2314 2848 3571 4628 5696 7142 9256 14284 18512 28568 37024 46423 57136 74048 92846 114272 185692 228544 317819 371384 635638 742768 1271276 1485536 2542552 2971072 4131647 5085104 8263294 10170208 16526588 20340416 33053176 66106352 132212704 264425408