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57034965 = 35132149151
BaseRepresentation
bin1101100110010…
…0100011010101
310222022200021010
43121210203111
5104100104330
65354242433
71261534461
oct331444325
9128280233
1057034965
112a216239
1217126419
13ba7c500
1478094a1
1550193b0
hex36648d5

57034965 has 48 divisors (see below), whose sum is σ = 100137600. Its totient is φ = 27705600.

The previous prime is 57034961. The next prime is 57034993. The reversal of 57034965 is 56943075.

57034965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57034965 - 22 = 57034961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57034961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377640 + ... + 377790.

It is an arithmetic number, because the mean of its divisors is an integer number (2086200).

Almost surely, 257034965 is an apocalyptic number.

It is an amenable number.

57034965 is a deficient number, since it is larger than the sum of its proper divisors (43102635).

57034965 is a wasteful number, since it uses less digits than its factorization.

57034965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 57034965 is about 7552.1496939613. The cubic root of 57034965 is about 384.9287887633.

The spelling of 57034965 in words is "fifty-seven million, thirty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 149 151 169 195 447 453 507 745 755 845 1937 1963 2235 2265 2535 5811 5889 9685 9815 22499 25181 25519 29055 29445 67497 75543 76557 112495 125905 127595 292487 337485 377715 382785 877461 1462435 3802331 4387305 11406993 19011655 57034965