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264937376 = 25115912757
BaseRepresentation
bin11111100101010…
…01111110100000
3200110112012202102
433302221332200
51020310444001
642142305532
76364634114
oct1762517640
9613465672
10264937376
11126606410
12748882a8
1342b726a2
1427287744
15183d4e6b
hexfca9fa0

264937376 has 48 divisors (see below), whose sum is σ = 578702880. Its totient is φ = 118375680.

The previous prime is 264937373. The next prime is 264937381. The reversal of 264937376 is 673739462.

264937376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264937376.

It is not an unprimeable number, because it can be changed into a prime (264937373) 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, 14390 + ... + 27146.

It is an arithmetic number, because the mean of its divisors is an integer number (12056310).

Almost surely, 2264937376 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 264937376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289351440).

264937376 is an abundant number, since it is smaller than the sum of its proper divisors (313765504).

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

264937376 is a wasteful number, since it uses less digits than its factorization.

264937376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12837 (or 12829 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 47.

The square root of 264937376 is about 16276.8970015786. The cubic root of 264937376 is about 642.2652281576.

The spelling of 264937376 in words is "two hundred sixty-four million, nine hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2596 5192 10384 12757 20768 25514 51028 102056 140327 204112 280654 408224 561308 752663 1122616 1505326 2245232 3010652 4490464 6021304 8279293 12042608 16558586 24085216 33117172 66234344 132468688 264937376