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245642928 = 24317461653
BaseRepresentation
bin11101010010000…
…11011010110000
3122010012221202020
432221003122300
51000341033203
640212551440
76041634066
oct1651033260
9563187666
10245642928
11116728193
126a322580
133bb7845b
14248a4036
1516873153
hexea436b0

245642928 has 80 divisors (see below), whose sum is σ = 674394336. Its totient is φ = 76779520.

The previous prime is 245642927. The next prime is 245642933. The reversal of 245642928 is 829246542.

It is a Cunningham number, because it is equal to 156732-1.

It is a self number, because there is not a number n which added to its sum of digits gives 245642928.

It is not an unprimeable number, because it can be changed into a prime (245642923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375850 + ... + 376502.

Almost surely, 2245642928 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 245642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337197168).

245642928 is an abundant number, since it is smaller than the sum of its proper divisors (428751408).

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

245642928 is a wasteful number, since it uses less digits than its factorization.

245642928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 245642928 is about 15672.9999680980. Note that the first 4 decimals coincide. The cubic root of 245642928 is about 626.2793446833.

The spelling of 245642928 in words is "two hundred forty-five million, six hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 461 653 816 922 1306 1383 1844 1959 2612 2766 3688 3918 5224 5532 7376 7836 7837 10448 11064 11101 15672 15674 22128 22202 23511 31344 31348 33303 44404 47022 62696 66606 88808 94044 125392 133212 177616 188088 266424 301033 376176 532848 602066 903099 1204132 1806198 2408264 3612396 4816528 5117561 7224792 10235122 14449584 15352683 20470244 30705366 40940488 61410732 81880976 122821464 245642928