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2590381836 = 223376156171
BaseRepresentation
bin1001101001100110…
…0001011100001100
320200112021000212000
42122121201130030
520301114204321
61105012512300
7121122611430
oct23231413414
96615230760
102590381836
11110a226239
1260361b690
13323886123
141a805a9c0
15102630826
hex9a66170c

2590381836 has 96 divisors (see below), whose sum is σ = 7801167360. Its totient is φ = 727963200.

The previous prime is 2590381813. The next prime is 2590381847. The reversal of 2590381836 is 6381830952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2590381791 and 2590381800.

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, 18031 + ... + 74201.

It is an arithmetic number, because the mean of its divisors is an integer number (81262160).

Almost surely, 22590381836 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 2590381836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900583680).

2590381836 is an abundant number, since it is smaller than the sum of its proper divisors (5210785524).

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

2590381836 is a wasteful number, since it uses less digits than its factorization.

2590381836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56252 (or 56244 counting only the distinct ones).

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

The square root of 2590381836 is about 50895.7938930124. The cubic root of 2590381836 is about 1373.3711773330.

The spelling of 2590381836 in words is "two billion, five hundred ninety million, three hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1281 1647 1708 2196 2562 3294 3843 5124 6588 7686 11529 15372 23058 46116 56171 112342 168513 224684 337026 393197 505539 674052 786394 1011078 1179591 1516617 1572788 2022156 2359182 3033234 3426431 3538773 4718364 6066468 6852862 7077546 10279293 10616319 13705724 14155092 20558586 21232638 23985017 30837879 41117172 42465276 47970034 61675758 71955051 92513637 95940068 123351516 143910102 185027274 215865153 287820204 370054548 431730306 647595459 863460612 1295190918 2590381836