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249135296 = 2619211971
BaseRepresentation
bin11101101100110…
…00000011000000
3122100210101101012
432312120003000
51002234312141
640415500052
76113420654
oct1666300300
9570711335
10249135296
111186a3043
126b527628
133c7cbc47
1425132a64
1516d12ceb
hexed980c0

249135296 has 56 divisors (see below), whose sum is σ = 523402560. Its totient is φ = 117331200.

The previous prime is 249135253. The next prime is 249135307. The reversal of 249135296 is 692531942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256091 + ... + 257061.

Almost surely, 2249135296 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 249135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261701280).

249135296 is an abundant number, since it is smaller than the sum of its proper divisors (274267264).

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

249135296 is a wasteful number, since it uses less digits than its factorization.

249135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 249135296 is about 15784.0202736819. The cubic root of 249135296 is about 629.2333801008.

The spelling of 249135296 in words is "two hundred forty-nine million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 211 304 422 608 844 971 1216 1688 1942 3376 3884 4009 6752 7768 8018 13504 15536 16036 18449 31072 32072 36898 62144 64144 73796 128288 147592 204881 256576 295184 409762 590368 819524 1180736 1639048 3278096 3892739 6556192 7785478 13112384 15570956 31141912 62283824 124567648 249135296