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57455475 = 3527119949
BaseRepresentation
bin1101101100101…
…1001101110011
311000010001002120
43123023031303
5104202033400
65411245323
71265235450
oct333131563
9130101076
1057455475
112a483170
12172a9843
13bb98a2c
1478b8827
15509dca0
hex36cb373

57455475 has 48 divisors (see below), whose sum is σ = 118444800. Its totient is φ = 23875200.

The previous prime is 57455459. The next prime is 57455483.

It is a happy number.

57455475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57455475 - 24 = 57455459 is a prime.

It is a super-2 number, since 2×574554752 = 6602263214951250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801 + ... + 10749.

It is an arithmetic number, because the mean of its divisors is an integer number (2467600).

Almost surely, 257455475 is an apocalyptic number.

57455475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57455475 is an abundant number, since it is smaller than the sum of its proper divisors (60989325).

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

57455475 is a wasteful number, since it uses less digits than its factorization.

57455475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980 (or 9975 counting only the distinct ones).

The product of its digits is 490000, while the sum is 42.

The square root of 57455475 is about 7579.9389839233. The cubic root of 57455475 is about 385.8724801818.

The spelling of 57455475 in words is "fifty-seven million, four hundred fifty-five thousand, four hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 9949 29847 49745 69643 109439 149235 208929 248725 328317 348215 547195 746175 766073 1044645 1641585 1741075 2298219 2735975 3830365 5223225 8207925 11491095 19151825 57455475