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2590468992 = 2733749557
BaseRepresentation
bin1001101001100111…
…0110101110000000
320200112102110102000
42122121312232000
520301130001432
61105014424000
7121123423506
oct23231665600
96615373360
102590468992
11110a285771
12603662000
133238b69b7
141a8080676
1510264b57c
hex9a676b80

2590468992 has 64 divisors (see below), whose sum is σ = 7645491600. Its totient is φ = 863488512.

The previous prime is 2590468981. The next prime is 2590468997. The reversal of 2590468992 is 2998640952.

It is a happy number.

2590468992 is a `hidden beast` number, since 2 + 5 + 90 + 468 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590468997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371323 + ... + 378234.

Almost surely, 22590468992 is an apocalyptic number.

It is an amenable number.

2590468992 is an abundant number, since it is smaller than the sum of its proper divisors (5055022608).

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

2590468992 is an equidigital number, since it uses as much as digits as its factorization.

2590468992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749580 (or 749562 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2590468992 is about 50896.6501058763. The cubic root of 2590468992 is about 1373.3865799780.

The spelling of 2590468992 in words is "two billion, five hundred ninety million, four hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 749557 1499114 2248671 2998228 4497342 5996456 6746013 8994684 11992912 13492026 17989368 20238039 23985824 26984052 35978736 40476078 47971648 53968104 71957472 80952156 95943296 107936208 143914944 161904312 215872416 287829888 323808624 431744832 647617248 863489664 1295234496 2590468992