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57407405 = 5116171241
BaseRepresentation
bin1101101011111…
…1011110101101
311000000121011012
43122333132231
5104144014110
65410235005
71264645346
oct332773655
9130017135
1057407405
112a450040
1217285a65
13bb7cba3
1478a50cd
15508e905
hex36bf7ad

57407405 has 32 divisors (see below), whose sum is σ = 77780736. Its totient is φ = 40320000.

The previous prime is 57407401. The next prime is 57407407. The reversal of 57407405 is 50470475.

57407405 = T30 + T31 + ... + T700.

It is not a de Polignac number, because 57407405 - 22 = 57407401 is a prime.

It is a super-2 number, since 2×574074052 = 6591220297668050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57407401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238085 + ... + 238325.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 257407405 is an apocalyptic number.

57407405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57407405 is a deficient number, since it is larger than the sum of its proper divisors (20373331).

57407405 is a wasteful number, since it uses less digits than its factorization.

57407405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 57407405 is about 7576.7674505689. The cubic root of 57407405 is about 385.7648370286.

The spelling of 57407405 in words is "fifty-seven million, four hundred seven thousand, four hundred five".

Divisors: 1 5 11 55 61 71 241 305 355 671 781 1205 2651 3355 3905 4331 13255 14701 17111 21655 47641 73505 85555 161711 188221 238205 808555 941105 1043771 5218855 11481481 57407405