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2506290990 = 2357115110369
BaseRepresentation
bin1001010101100010…
…1111011100101110
320110200000202220020
42111120233130232
520113102302430
61052410303010
7116052056550
oct22530573456
96420022806
102506290990
111076810575
1259b427a66
1330c322a28
1419ac0b4d0
15ea06eb10
hex9562f72e

2506290990 has 64 divisors (see below), whose sum is σ = 6881034240. Its totient is φ = 572313600.

The previous prime is 2506290989. The next prime is 2506291019. The reversal of 2506290990 is 990926052.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236526 + ... + 246894.

It is an arithmetic number, because the mean of its divisors is an integer number (107516160).

Almost surely, 22506290990 is an apocalyptic number.

2506290990 is an abundant number, since it is smaller than the sum of its proper divisors (4374743250).

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

2506290990 is a wasteful number, since it uses less digits than its factorization.

2506290990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 2506290990 is about 50062.8703731618. The cubic root of 2506290990 is about 1358.3462796596.

The spelling of 2506290990 in words is "two billion, five hundred six million, two hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1151 2302 3453 5755 6906 8057 10369 11510 16114 17265 20738 24171 31107 34530 40285 48342 51845 62214 72583 80570 103690 120855 145166 155535 217749 241710 311070 362915 435498 725830 1088745 2177490 11934719 23869438 35804157 59673595 71608314 83543033 119347190 167086066 179020785 250629099 358041570 417715165 501258198 835430330 1253145495 2506290990