Search a number
-
+
57938804 = 22711313601
BaseRepresentation
bin1101110100000…
…1001101110100
311001000121002122
43131001031310
5104313020204
65425455112
71302320540
oct335011564
9131017078
1057938804
112a783310
12174a1498
13c007a21
1479a2a20
1551470be
hex3741374

57938804 has 48 divisors (see below), whose sum is σ = 127026816. Its totient is φ = 22464000.

The previous prime is 57938761. The next prime is 57938821. The reversal of 57938804 is 40883975.

57938804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96104 + ... + 96704.

It is an arithmetic number, because the mean of its divisors is an integer number (2646392).

Almost surely, 257938804 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 57938804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63513408).

57938804 is an abundant number, since it is smaller than the sum of its proper divisors (69088012).

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

57938804 is a wasteful number, since it uses less digits than its factorization.

57938804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 57938804 is about 7611.7543312958. The cubic root of 57938804 is about 386.9514769780.

The spelling of 57938804 in words is "fifty-seven million, nine hundred thirty-eight thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 313 601 626 1202 1252 2191 2404 3443 4207 4382 6611 6886 8414 8764 13222 13772 16828 24101 26444 46277 48202 92554 96404 185108 188113 376226 752452 1316791 2069243 2633582 4138486 5267164 8276972 14484701 28969402 57938804