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57077216 = 2571913411
BaseRepresentation
bin1101100110111…
…0110111100000
310222101211012222
43121232313200
5104102432331
65355210212
71262101610
oct331566740
9128354188
1057077216
112a244a59
1217146968
13ba95801
14781aa40
155026b7b
hex366ede0

57077216 has 48 divisors (see below), whose sum is σ = 135192960. Its totient is φ = 23172480.

The previous prime is 57077201. The next prime is 57077219. The reversal of 57077216 is 61277075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57077219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2450 + ... + 10961.

It is an arithmetic number, because the mean of its divisors is an integer number (2816520).

Almost surely, 257077216 is an apocalyptic number.

57077216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57077216 is an abundant number, since it is smaller than the sum of its proper divisors (78115744).

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

57077216 is a wasteful number, since it uses less digits than its factorization.

57077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447 (or 13439 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 57077216 is about 7554.9464591088. The cubic root of 57077216 is about 385.0238159215.

The spelling of 57077216 in words is "fifty-seven million, seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 13411 26822 53644 93877 107288 187754 214576 254809 375508 429152 509618 751016 1019236 1502032 1783663 2038472 3004064 3567326 4076944 7134652 8153888 14269304 28538608 57077216