Search a number
-
+
245690928 = 24337113719
BaseRepresentation
bin11101010010011…
…11001000110000
3122010022101121000
432221033020300
51000344102203
640214002000
76042224040
oct1651171060
9563271530
10245690928
1111676025a
126a346300
133bb94262
14248b7720
15168824a3
hexea4f230

245690928 has 160 divisors (see below), whose sum is σ = 814233600. Its totient is φ = 69479424.

The previous prime is 245690909. The next prime is 245690941. The reversal of 245690928 is 829096542.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 341353 + ... + 342071.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2245690928 is an apocalyptic number.

245690928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245690928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

245690928 is an abundant number, since it is smaller than the sum of its proper divisors (568542672).

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

245690928 is a wasteful number, since it uses less digits than its factorization.

245690928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 245690928 is about 15674.5311891616. The cubic root of 245690928 is about 626.3201348538.

The spelling of 245690928 in words is "two hundred forty-five million, six hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 113 126 144 168 189 216 226 252 336 339 378 432 452 504 678 719 756 791 904 1008 1017 1356 1438 1512 1582 1808 2034 2157 2373 2712 2876 3024 3051 3164 4068 4314 4746 5033 5424 5752 6102 6328 6471 7119 8136 8628 9492 10066 11504 12204 12656 12942 14238 15099 16272 17256 18984 19413 20132 21357 24408 25884 28476 30198 34512 37968 38826 40264 42714 45297 48816 51768 56952 60396 77652 80528 81247 85428 90594 103536 113904 120792 135891 155304 162494 170856 181188 241584 243741 271782 310608 324988 341712 362376 487482 543564 568729 649976 724752 731223 974964 1087128 1137458 1299952 1462446 1706187 1949928 2174256 2193669 2274916 2924892 3412374 3899856 4387338 4549832 5118561 5849784 6824748 8774676 9099664 10237122 11699568 13649496 15355683 17549352 20474244 27298992 30711366 35098704 40948488 61422732 81896976 122845464 245690928