Search a number
-
+
57893941 = 73612767
BaseRepresentation
bin1101110011011…
…0010000110101
311000221022120001
43130312100311
5104310101231
65424511301
71302043000
oct334662065
9130838501
1057893941
112a752636
121747b531
13bcc0491
147990537
155138b61
hex3736435

57893941 has 16 divisors (see below), whose sum is σ = 68646400. Its totient is φ = 48792240.

The previous prime is 57893939. The next prime is 57893971. The reversal of 57893941 is 14939875.

It is a happy number.

It is not a de Polignac number, because 57893941 - 21 = 57893939 is a prime.

It is a super-2 number, since 2×578939412 = 6703416809022962, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (272160) is a multiple of the sum of its prime divisors (2835).

It is a junction number, because it is equal to n+sod(n) for n = 57893891 and 57893900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57893971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19540 + ... + 22306.

It is an arithmetic number, because the mean of its divisors is an integer number (4290400).

Almost surely, 257893941 is an apocalyptic number.

It is an amenable number.

57893941 is a deficient number, since it is larger than the sum of its proper divisors (10752459).

57893941 is an equidigital number, since it uses as much as digits as its factorization.

57893941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2835 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 57893941 is about 7608.8068052751. The cubic root of 57893941 is about 386.8515768218.

It can be divided in two parts, 5789 and 3941, that added together give a triangular number (9730 = T139).

The spelling of 57893941 in words is "fifty-seven million, eight hundred ninety-three thousand, nine hundred forty-one".

Divisors: 1 7 49 61 343 427 2767 2989 19369 20923 135583 168787 949081 1181509 8270563 57893941