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481732264 = 23131753297
BaseRepresentation
bin11100101101101…
…010011010101000
31020120110112102201
4130231222122220
51441310413024
6115445105544
714636441146
oct3455523250
91216415381
10481732264
11227a1a642
121153b82b4
1378a5a2a0
1447d9c596
152c45a744
hex1cb6a6a8

481732264 has 96 divisors (see below), whose sum is σ = 1060569720. Its totient is φ = 203194368.

The previous prime is 481732243. The next prime is 481732291. The reversal of 481732264 is 462237184.

It can be written as a sum of positive squares in 12 ways, for example, as 130919364 + 350812900 = 11442^2 + 18730^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966264 + ... + 4966360.

Almost surely, 2481732264 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 481732264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530284860).

481732264 is an abundant number, since it is smaller than the sum of its proper divisors (578837456).

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

481732264 is a wasteful number, since it uses less digits than its factorization.

481732264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 182 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 481732264 is about 21948.4000328042. The cubic root of 481732264 is about 783.9142841524.

The spelling of 481732264 in words is "four hundred eighty-one million, seven hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 97 104 106 136 194 212 221 388 424 442 689 776 884 901 1261 1378 1649 1768 1802 2522 2756 2809 3298 3604 5044 5141 5512 5618 6596 7208 10088 10282 11236 11713 13192 20564 21437 22472 23426 36517 41128 42874 46852 47753 66833 73034 85748 87397 93704 95506 133666 146068 171496 174794 191012 267332 272473 292136 349588 382024 534664 544946 620789 699176 1089892 1136161 1241578 2179784 2272322 2483156 3542149 4544644 4632041 4966312 7084298 9089288 9264082 14168596 18528164 28337192 37056328 60216533 120433066 240866132 481732264