Search a number
-
+
57387680 = 255751239
BaseRepresentation
bin1101101011101…
…0101010100000
310222222121002122
43122322222200
5104142401210
65410003412
71264534010
oct332725240
9128877078
1057387680
112a437239
1217276568
13bb73c0c
14789bc40
155088b55
hex36baaa0

57387680 has 48 divisors (see below), whose sum is σ = 154949760. Its totient is φ = 19675392.

The previous prime is 57387677. The next prime is 57387683. The reversal of 57387680 is 8678375.

57387680 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 (57387677) and next prime (57387683).

It is not an unprimeable number, because it can be changed into a prime (57387683) 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 7 ways as a sum of consecutive naturals, for example, 24500 + ... + 26739.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 257387680 is an apocalyptic number.

It is an amenable number.

57387680 is an abundant number, since it is smaller than the sum of its proper divisors (97562080).

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

57387680 is a wasteful number, since it uses less digits than its factorization.

57387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51261 (or 51253 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 57387680 is about 7575.4656622547. The cubic root of 57387680 is about 385.7206494476.

The spelling of 57387680 in words is "fifty-seven million, three hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 51239 102478 204956 256195 358673 409912 512390 717346 819824 1024780 1434692 1639648 1793365 2049560 2869384 3586730 4099120 5738768 7173460 8198240 11477536 14346920 28693840 57387680