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249275964 = 223717227769
BaseRepresentation
bin11101101101110…
…10011000111100
3122101001112100010
432312322120330
51002303312324
640422503220
76114545040
oct1666723074
9571045303
10249275964
111187897a3
126b594b10
133c84ac92
142516c020
1516d3e829
hexedba63c

249275964 has 96 divisors (see below), whose sum is σ = 707857920. Its totient is φ = 66650112.

The previous prime is 249275899. The next prime is 249275977. The reversal of 249275964 is 469572942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323772 + ... + 324540.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2249275964 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 249275964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353928960).

249275964 is an abundant number, since it is smaller than the sum of its proper divisors (458581956).

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

249275964 is a wasteful number, since it uses less digits than its factorization.

249275964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1025 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 249275964 is about 15788.4756705643. The cubic root of 249275964 is about 629.3517847707.

The spelling of 249275964 in words is "two hundred forty-nine million, two hundred seventy-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 227 238 357 454 476 681 714 769 908 1362 1428 1538 1589 2307 2724 3076 3178 3859 4614 4767 5383 6356 7718 9228 9534 10766 11577 13073 15436 16149 19068 21532 23154 26146 27013 32298 39219 46308 52292 54026 64596 78438 81039 91511 108052 156876 162078 174563 183022 274533 324156 349126 366044 523689 549066 698252 1047378 1098132 1221941 2094756 2443882 2967571 3665823 4887764 5935142 7331646 8902713 11870284 14663292 17805426 20772997 35610852 41545994 62318991 83091988 124637982 249275964