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264944352 = 25331127701
BaseRepresentation
bin11111100101010…
…11101011100000
3200110112120022210
433302223223200
51020311204402
642142402120
76364663341
oct1762535340
9613476283
10264944352
11126610682
1274890340
1342b7590a
142728a0c8
15183d706c
hexfcabae0

264944352 has 96 divisors (see below), whose sum is σ = 724598784. Its totient is φ = 84672000.

The previous prime is 264944333. The next prime is 264944353. The reversal of 264944352 is 253449462.

264944352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (207360) is a multiple of the sum of its prime divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 264944352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264944353) 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, 377602 + ... + 378302.

It is an arithmetic number, because the mean of its divisors is an integer number (7547904).

Almost surely, 2264944352 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 264944352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362299392).

264944352 is an abundant number, since it is smaller than the sum of its proper divisors (459654432).

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

264944352 is a wasteful number, since it uses less digits than its factorization.

264944352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 264944352 is about 16277.1112916267. Note that the first 3 decimals coincide. The cubic root of 264944352 is about 642.2708652166.

The spelling of 264944352 in words is "two hundred sixty-four million, nine hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 127 186 248 254 372 381 496 508 701 744 762 992 1016 1402 1488 1524 2032 2103 2804 2976 3048 3937 4064 4206 5608 6096 7874 8412 11216 11811 12192 15748 16824 21731 22432 23622 31496 33648 43462 47244 62992 65193 67296 86924 89027 94488 125984 130386 173848 178054 188976 260772 267081 347696 356108 377952 521544 534162 695392 712216 1043088 1068324 1424432 2086176 2136648 2759837 2848864 4273296 5519674 8279511 8546592 11039348 16559022 22078696 33118044 44157392 66236088 88314784 132472176 264944352