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264421616 = 24232832539
BaseRepresentation
bin11111100001011…
…00000011110000
3200102120000021012
433300230003300
51020142442431
642123250052
76360355334
oct1760540360
9612500235
10264421616
11126293968
1274679928
1342a219c4
14271917c4
151833222b
hexfc2c0f0

264421616 has 40 divisors (see below), whose sum is σ = 536691840. Its totient is φ = 125966016.

The previous prime is 264421609. The next prime is 264421627. The reversal of 264421616 is 616124462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102875 + ... + 105413.

It is an arithmetic number, because the mean of its divisors is an integer number (13417296).

Almost surely, 2264421616 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 264421616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268345920).

264421616 is an abundant number, since it is smaller than the sum of its proper divisors (272270224).

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

264421616 is a wasteful number, since it uses less digits than its factorization.

264421616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2847 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 264421616 is about 16261.0459688176. The cubic root of 264421616 is about 641.8481863322.

The spelling of 264421616 in words is "two hundred sixty-four million, four hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 283 368 566 1132 2264 2539 4528 5078 6509 10156 13018 20312 26036 40624 52072 58397 104144 116794 233588 467176 718537 934352 1437074 2874148 5748296 11496592 16526351 33052702 66105404 132210808 264421616