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53694 = 23219157
BaseRepresentation
bin1101000110111110
32201122200
431012332
53204234
61052330
7312354
oct150676
981580
1053694
1137383
12270a6
131b594
14157d4
1510d99
hexd1be

53694 has 24 divisors (see below), whose sum is σ = 123240. Its totient is φ = 16848.

The previous prime is 53693. The next prime is 53699. The reversal of 53694 is 49635.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (5135).

253694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61620).

53694 is an abundant number, since it is smaller than the sum of its proper divisors (69546).

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

53694 is a wasteful number, since it uses less digits than its factorization.

53694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 53694 is about 231.7196582079. The cubic root of 53694 is about 37.7261006863.

It can be divided in two parts, 536 and 94, that added together give a triangular number (630 = T35).

The spelling of 53694 in words is "fifty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 157 171 314 342 471 942 1413 2826 2983 5966 8949 17898 26847 53694