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264503085 = 357111719709
BaseRepresentation
bin11111100001111…
…11111100101101
3200102201011000120
433300333330231
51020203044320
642125115153
76361145010
oct1760777455
9612634016
10264503085
1112633a0a0
12746b8ab9
1342a4cb02
14271b3377
151834b440
hexfc3ff2d

264503085 has 128 divisors (see below), whose sum is σ = 588902400. Its totient is φ = 97873920.

The previous prime is 264503021. The next prime is 264503087. The reversal of 264503085 is 580305462.

It is not a de Polignac number, because 264503085 - 26 = 264503021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264503087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 372711 + ... + 373419.

It is an arithmetic number, because the mean of its divisors is an integer number (4600800).

Almost surely, 2264503085 is an apocalyptic number.

It is an amenable number.

264503085 is an abundant number, since it is smaller than the sum of its proper divisors (324399315).

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

264503085 is a wasteful number, since it uses less digits than its factorization.

264503085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 264503085 is about 16263.5508115540. The cubic root of 264503085 is about 641.9140979387.

The spelling of 264503085 in words is "two hundred sixty-four million, five hundred three thousand, eighty-five".

Divisors: 1 3 5 7 11 15 17 19 21 33 35 51 55 57 77 85 95 105 119 133 165 187 209 231 255 285 323 357 385 399 561 595 627 665 709 935 969 1045 1155 1309 1463 1615 1785 1995 2127 2261 2805 3135 3545 3553 3927 4389 4845 4963 6545 6783 7315 7799 10635 10659 11305 12053 13471 14889 17765 19635 21945 23397 24815 24871 33915 36159 38995 40413 53295 54593 60265 67355 74445 74613 84371 94297 116985 124355 132583 148181 163779 180795 202065 229007 253113 272965 282891 373065 397749 421855 444543 471485 662915 687021 740905 818895 928081 1037267 1145035 1265565 1414455 1603049 1988745 2222715 2519077 2784243 3111801 3435105 4640405 4809147 5186335 7557231 8015245 12595385 13921215 15559005 17633539 24045735 37786155 52900617 88167695 264503085