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2057274024 = 2331350313109
BaseRepresentation
bin111101010011111…
…1000001010101000
312022101010100102020
41322213320022220
513203130232044
6540050304440
7101660353311
oct17247701250
95271110366
102057274024
11966306473
12494b88120
1326a2ab610
14157327608
15c0927a19
hex7a9f82a8

2057274024 has 64 divisors (see below), whose sum is σ = 5550249600. Its totient is φ = 631700736.

The previous prime is 2057274013. The next prime is 2057274041. The reversal of 2057274024 is 4204727502.

It is a happy number.

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, 150382 + ... + 163490.

It is an arithmetic number, because the mean of its divisors is an integer number (86722650).

Almost surely, 22057274024 is an apocalyptic number.

2057274024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057274024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775124800).

2057274024 is an abundant number, since it is smaller than the sum of its proper divisors (3492975576).

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

2057274024 is a wasteful number, since it uses less digits than its factorization.

2057274024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13634 (or 13630 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2057274024 is about 45357.1827167429. The cubic root of 2057274024 is about 1271.8348298252.

The spelling of 2057274024 in words is "two billion, fifty-seven million, two hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 503 1006 1509 2012 3018 4024 6036 6539 12072 13078 13109 19617 26156 26218 39234 39327 52312 52436 78468 78654 104872 156936 157308 170417 314616 340834 511251 681668 1022502 1363336 2045004 4090008 6593827 13187654 19781481 26375308 39562962 52750616 79125924 85719751 158251848 171439502 257159253 342879004 514318506 685758008 1028637012 2057274024