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2490609096 = 23322310114891
BaseRepresentation
bin1001010001110011…
…1010110111001000
320102120112001101100
42110130322313020
520100043442341
61051050221400
7115501554003
oct22434726710
96376461340
102490609096
11106897a528
12596124860
13308cc1bc1
14198ac853a
15e89c33b6
hex9473adc8

2490609096 has 96 divisors (see below), whose sum is σ = 7108845120. Its totient is φ = 786192000.

The previous prime is 2490609049. The next prime is 2490609097. The reversal of 2490609096 is 6909060942.

2490609096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2490609097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159811 + ... + 174701.

It is an arithmetic number, because the mean of its divisors is an integer number (74050470).

Almost surely, 22490609096 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 2490609096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554422560).

2490609096 is an abundant number, since it is smaller than the sum of its proper divisors (4618236024).

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

2490609096 is a wasteful number, since it uses less digits than its factorization.

2490609096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15027 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2490609096 is about 49906.0026048971. The cubic root of 2490609096 is about 1355.5072869890.

The spelling of 2490609096 in words is "two billion, four hundred ninety million, six hundred nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 101 138 184 202 207 276 303 404 414 552 606 808 828 909 1212 1656 1818 2323 2424 3636 4646 6969 7272 9292 13938 14891 18584 20907 27876 29782 41814 44673 55752 59564 83628 89346 119128 134019 167256 178692 268038 342493 357384 536076 684986 1027479 1072152 1369972 1503991 2054958 2739944 3007982 3082437 4109916 4511973 6015964 6164874 8219832 9023946 12031928 12329748 13535919 18047892 24659496 27071838 34591793 36095784 54143676 69183586 103775379 108287352 138367172 207550758 276734344 311326137 415101516 622652274 830203032 1245304548 2490609096