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540364776 = 23373216457
BaseRepresentation
bin100000001101010…
…100111111101000
31101122210101010020
4200031110333220
52101313133101
6125341520440
716251011340
oct4015247750
91348711106
10540364776
11258027066
12130b73120
1387c48993
1451aa1d20
153268d136
hex20354fe8

540364776 has 32 divisors (see below), whose sum is σ = 1543899840. Its totient is φ = 154389888.

The previous prime is 540364697. The next prime is 540364793. The reversal of 540364776 is 677463045.

It is a happy number.

It is a super-2 number, since 2×5403647762 = 583988182283060352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608061 + ... + 1608396.

It is an arithmetic number, because the mean of its divisors is an integer number (48246870).

Almost surely, 2540364776 is an apocalyptic number.

540364776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

540364776 is an abundant number, since it is smaller than the sum of its proper divisors (1003535064).

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

540364776 is a wasteful number, since it uses less digits than its factorization.

540364776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216473 (or 3216469 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 540364776 is about 23245.7474820665. The cubic root of 540364776 is about 814.5086056323.

The spelling of 540364776 in words is "five hundred forty million, three hundred sixty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3216457 6432914 9649371 12865828 19298742 22515199 25731656 38597484 45030398 67545597 77194968 90060796 135091194 180121592 270182388 540364776