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57499920 = 2432579861
BaseRepresentation
bin1101101101011…
…0000100010000
311000012022001200
43123112010100
5104204444140
65412231200
71265512152
oct333260420
9130168050
1057499920
112a5035a5
121730b500
13bbb302a
1478caad2
1550ac030
hex36d6110

57499920 has 60 divisors (see below), whose sum is σ = 193106316. Its totient is φ = 15333120.

The previous prime is 57499907. The next prime is 57499921. The reversal of 57499920 is 2999475.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 16744464 = 6384^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57499921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39211 + ... + 40650.

Almost surely, 257499920 is an apocalyptic number.

It is an amenable number.

57499920 is an abundant number, since it is smaller than the sum of its proper divisors (135606396).

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

57499920 is a wasteful number, since it uses less digits than its factorization.

57499920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79880 (or 79871 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 57499920 is about 7582.8701690059. The cubic root of 57499920 is about 385.9719524664.

The spelling of 57499920 in words is "fifty-seven million, four hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 79861 159722 239583 319444 399305 479166 638888 718749 798610 958332 1197915 1277776 1437498 1597220 1916664 2395830 2874996 3194440 3593745 3833328 4791660 5749992 6388880 7187490 9583320 11499984 14374980 19166640 28749960 57499920