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2496083128 = 2372112919961
BaseRepresentation
bin1001010011000111…
…0011010010111000
320102221211011100021
42110301303102320
520102444130003
61051403420224
7115566233200
oct22461632270
96387734307
102496083128
111070a79220
12597b24674
1330a18a686
14199711400
15e92052bd
hex94c734b8

2496083128 has 96 divisors (see below), whose sum is σ = 6144303600. Its totient is φ = 938918400.

The previous prime is 2496083101. The next prime is 2496083167. The reversal of 2496083128 is 8213806942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115068 + ... + 135028.

Almost surely, 22496083128 is an apocalyptic number.

2496083128 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 2496083128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072151800).

2496083128 is an abundant number, since it is smaller than the sum of its proper divisors (3648220472).

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

2496083128 is a wasteful number, since it uses less digits than its factorization.

2496083128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 2496083128 is about 49960.8159260835. The cubic root of 2496083128 is about 1356.4996360462.

The spelling of 2496083128 in words is "two billion, four hundred ninety-six million, eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 49 56 58 77 88 98 116 154 196 203 232 308 319 392 406 539 616 638 812 1078 1276 1421 1624 2156 2233 2552 2842 4312 4466 5684 8932 11368 15631 17864 19961 31262 39922 62524 79844 125048 139727 159688 219571 279454 439142 558908 578869 878284 978089 1117816 1157738 1536997 1756568 1956178 2315476 3073994 3912356 4052083 4630952 6147988 6367559 7824712 8104166 10758979 12295976 12735118 16208332 21517958 25470236 28364581 32416664 43035916 44572913 50940472 56729162 86071832 89145826 113458324 178291652 226916648 312010391 356583304 624020782 1248041564 2496083128