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264169472 = 211718427
BaseRepresentation
bin11111011111011…
…10100000000000
3200102002012101112
433233232200000
51020111410342
642114022452
76355255250
oct1757564000
9612065345
10264169472
11126131486
1274577a28
1342963cc8
1427127960
15182d2682
hexfbee800

264169472 has 48 divisors (see below), whose sum is σ = 603701280. Its totient is φ = 113209344.

The previous prime is 264169471. The next prime is 264169481. The reversal of 264169472 is 274961462.

264169472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264169471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5123 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (12577110).

Almost surely, 2264169472 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 264169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301850640).

264169472 is an abundant number, since it is smaller than the sum of its proper divisors (339531808).

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

264169472 is an equidigital number, since it uses as much as digits as its factorization.

264169472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18456 (or 18436 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 264169472 is about 16253.2911128793. The cubic root of 264169472 is about 641.6441061463.

The spelling of 264169472 in words is "two hundred sixty-four million, one hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 18427 36854 73708 128989 147416 257978 294832 515956 589664 1031912 1179328 2063824 2358656 4127648 4717312 8255296 9434624 16510592 18869248 33021184 37738496 66042368 132084736 264169472