[go: up one dir, main page]

Search a number
-
+
57673640 = 2353146511
BaseRepresentation
bin1101110000000…
…0011110101000
311000112010100202
43130000132220
5104231024030
65420051332
71300134503
oct334003650
9130463322
1057673640
112a612072
1217393b48
13bc4411b
14793413a
1550e3745
hex37007a8

57673640 has 32 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 22324800.

The previous prime is 57673631. The next prime is 57673643. The reversal of 57673640 is 4637675.

It is a junction number, because it is equal to n+sod(n) for n = 57673594 and 57673603.

It is not an unprimeable number, because it can be changed into a prime (57673643) 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 7 ways as a sum of consecutive naturals, for example, 22016 + ... + 24495.

It is an arithmetic number, because the mean of its divisors is an integer number (4186080).

Almost surely, 257673640 is an apocalyptic number.

It is an amenable number.

57673640 is an abundant number, since it is smaller than the sum of its proper divisors (76280920).

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

57673640 is a wasteful number, since it uses less digits than its factorization.

57673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46553 (or 46549 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 57673640 is about 7594.3162957570. The cubic root of 57673640 is about 386.3602639362.

The spelling of 57673640 in words is "fifty-seven million, six hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 46511 93022 186044 232555 372088 465110 930220 1441841 1860440 2883682 5767364 7209205 11534728 14418410 28836820 57673640