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540802944 = 27321142677
BaseRepresentation
bin100000001110111…
…111111110000000
31101200121122011200
4200032333332000
52101421143234
6125355141200
716254514653
oct4016777600
91350548150
10540802944
112582a6290
12131144800
1388070256
1451b7789a
1532727d99
hex203bff80

540802944 has 96 divisors (see below), whose sum is σ = 1697730840. Its totient is φ = 163875840.

The previous prime is 540802921. The next prime is 540802949. The reversal of 540802944 is 449208045.

540802944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 540802899 and 540802908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540802949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8667 + ... + 34010.

Almost surely, 2540802944 is an apocalyptic number.

It is an amenable number.

540802944 is an abundant number, since it is smaller than the sum of its proper divisors (1156927896).

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

540802944 is a wasteful number, since it uses less digits than its factorization.

540802944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42708 (or 42693 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 540802944 is about 23255.1702638360. The cubic root of 540802944 is about 814.7287008971.

The spelling of 540802944 in words is "five hundred forty million, eight hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 42677 85354 128031 170708 256062 341416 384093 469447 512124 682832 768186 938894 1024248 1365664 1408341 1536372 1877788 2048496 2731328 2816682 3072744 3755576 4096992 4225023 5462656 5633364 6145488 7511152 8193984 8450046 11266728 12290976 15022304 16387968 16900092 22533456 24581952 30044608 33800184 45066912 49163904 60089216 67600368 90133824 135200736 180267648 270401472 540802944