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57314460 = 22357136463
BaseRepresentation
bin1101101010100…
…0110010011100
310222211212122210
43122220302130
5104133030320
65404240420
71264110360
oct332506234
9128755583
1057314460
112a397225
1217240110
13bb497a8
14787d2a0
1550720e0
hex36a8c9c

57314460 has 48 divisors (see below), whose sum is σ = 183407616. Its totient is φ = 13100352.

The previous prime is 57314449. The next prime is 57314471. The reversal of 57314460 is 6441375.

57314460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57314449) and next prime (57314471).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67812 + ... + 68651.

It is an arithmetic number, because the mean of its divisors is an integer number (3820992).

Almost surely, 257314460 is an apocalyptic number.

It is an amenable number.

57314460 is an abundant number, since it is smaller than the sum of its proper divisors (126093156).

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

57314460 is a wasteful number, since it uses less digits than its factorization.

57314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136482 (or 136480 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57314460 is about 7570.6314135612. The cubic root of 57314460 is about 385.5565347465.

The spelling of 57314460 in words is "fifty-seven million, three hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 136463 272926 409389 545852 682315 818778 955241 1364630 1637556 1910482 2046945 2729260 2865723 3820964 4093890 4776205 5731446 8187780 9552410 11462892 14328615 19104820 28657230 57314460