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2480105796 = 2237219733041
BaseRepresentation
bin1001001111010011…
…0110100101000100
320101211202102120020
42103310312211010
520034401341141
61050033135140
7115313360100
oct22364664504
96354672506
102480105796
111062a56213
125926ba4b0
13306a8522c
14197552900
15e7aeb266
hex93d36944

2480105796 has 144 divisors (see below), whose sum is σ = 7185447360. Its totient is φ = 661893120.

The previous prime is 2480105783. The next prime is 2480105821. The reversal of 2480105796 is 6975010842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814036 + ... + 817076.

It is an arithmetic number, because the mean of its divisors is an integer number (49898940).

Almost surely, 22480105796 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 2480105796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592723680).

2480105796 is an abundant number, since it is smaller than the sum of its proper divisors (4705341564).

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

2480105796 is a wasteful number, since it uses less digits than its factorization.

2480105796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2480105796 is about 49800.6605980282. The cubic root of 2480105796 is about 1353.5991379082.

The spelling of 2480105796 in words is "two billion, four hundred eighty million, one hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 73 76 84 98 114 133 146 147 196 219 228 266 292 294 399 438 511 532 588 798 876 931 1022 1387 1533 1596 1862 2044 2774 2793 3041 3066 3577 3724 4161 5548 5586 6082 6132 7154 8322 9123 9709 10731 11172 12164 14308 16644 18246 19418 21287 21462 29127 36492 38836 42574 42924 57779 58254 63861 67963 85148 115558 116508 127722 135926 149009 173337 203889 221993 231116 255444 271852 298018 346674 404453 407778 443986 447027 596036 665979 693348 808906 815556 887972 894054 1213359 1331958 1553951 1617812 1788108 2426718 2663916 2831171 3107902 4217867 4661853 4853436 5662342 6215804 8435734 8493513 9323706 10877657 11324684 12653601 16871468 16987026 18647412 21755314 25307202 29525069 32632971 33974052 43510628 50614404 59050138 65265942 88575207 118100276 130531884 177150414 206675483 354300828 413350966 620026449 826701932 1240052898 2480105796