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264211968 = 293374649
BaseRepresentation
bin11111011111110…
…00111000000000
3200102011100200110
433233320320000
51020114240333
642114551320
76355523166
oct1757707000
9612140613
10264211968
111261603a9
1274598540
134297a457
1427139236
15182e0063
hexfbf8e00

264211968 has 80 divisors (see below), whose sum is σ = 723056400. Its totient is φ = 85671936.

The previous prime is 264211951. The next prime is 264211973. The reversal of 264211968 is 869112462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54508 + ... + 59156.

It is an arithmetic number, because the mean of its divisors is an integer number (9038205).

Almost surely, 2264211968 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 264211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361528200).

264211968 is an abundant number, since it is smaller than the sum of its proper divisors (458844432).

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

264211968 is an equidigital number, since it uses as much as digits as its factorization.

264211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4691 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 264211968 is about 16254.5983647705. The cubic root of 264211968 is about 641.6785106339.

The spelling of 264211968 in words is "two hundred sixty-four million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4649 4736 7104 9298 9472 13947 14208 18596 18944 27894 28416 37192 55788 56832 74384 111576 148768 172013 223152 297536 344026 446304 516039 595072 688052 892608 1032078 1190144 1376104 1785216 2064156 2380288 2752208 3570432 4128312 5504416 7140864 8256624 11008832 16513248 22017664 33026496 44035328 66052992 88070656 132105984 264211968