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2590938312 = 2331711935323
BaseRepresentation
bin1001101001101110…
…1001010011001000
320200120022022012020
42122123221103020
520301240011222
61105032444440
7121130420004
oct23233512310
96616268166
102590938312
11110a576336
12603849720
13323a1c4c1
141a8163704
151026e065c
hex9a6e94c8

2590938312 has 64 divisors (see below), whose sum is σ = 6865404480. Its totient is φ = 812009472.

The previous prime is 2590938281. The next prime is 2590938341. The reversal of 2590938312 is 2138390952.

It is a super-2 number, since 2×25909383122 = 13425922673178818688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484083 + ... + 489405.

It is an arithmetic number, because the mean of its divisors is an integer number (107271945).

Almost surely, 22590938312 is an apocalyptic number.

It is an amenable number.

2590938312 is an abundant number, since it is smaller than the sum of its proper divisors (4274466168).

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

2590938312 is a wasteful number, since it uses less digits than its factorization.

2590938312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2590938312 is about 50901.2604166144. The cubic root of 2590938312 is about 1373.4695146217.

The spelling of 2590938312 in words is "two billion, five hundred ninety million, nine hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1193 2386 3579 4772 5323 7158 9544 10646 14316 15969 20281 21292 28632 31938 40562 42584 60843 63876 81124 90491 121686 127752 162248 180982 243372 271473 361964 486744 542946 723928 1085892 2171784 6350339 12700678 19051017 25401356 38102034 50802712 76204068 107955763 152408136 215911526 323867289 431823052 647734578 863646104 1295469156 2590938312