Search a number
-
+
57741992 = 2373111913
BaseRepresentation
bin1101110001000…
…1001010101000
311000122121010022
43130101022220
5104240220432
65421340012
71300541000
oct334211250
9130577108
1057741992
112a659460
1217407608
13bc69279
147951000
155108b12
hex37112a8

57741992 has 64 divisors (see below), whose sum is σ = 137808000. Its totient is φ = 22485120.

The previous prime is 57741977. The next prime is 57741997. The reversal of 57741992 is 29914775.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (57741997) 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 15 ways as a sum of consecutive naturals, for example, 29228 + ... + 31140.

It is an arithmetic number, because the mean of its divisors is an integer number (2153250).

Almost surely, 257741992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57741992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68904000).

57741992 is an abundant number, since it is smaller than the sum of its proper divisors (80066008).

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

57741992 is a wasteful number, since it uses less digits than its factorization.

57741992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1933 counting only the distinct ones).

The product of its digits is 158760, while the sum is 44.

The square root of 57741992 is about 7598.8151708013. The cubic root of 57741992 is about 386.5128354919.

The spelling of 57741992 in words is "fifty-seven million, seven hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 1913 2156 2744 3773 3826 4312 7546 7652 13391 15092 15304 21043 26782 30184 42086 53564 84172 93737 107128 147301 168344 187474 294602 374948 589204 656159 749896 1031107 1178408 1312318 2062214 2624636 4124428 5249272 7217749 8248856 14435498 28870996 57741992