Search a number
-
+
53396 = 2271907
BaseRepresentation
bin1101000010010100
32201020122
431002110
53202041
61051112
7311450
oct150224
981218
1053396
1137132
1226a98
131b3c5
1415660
1510c4b
hexd094

53396 has 12 divisors (see below), whose sum is σ = 106848. Its totient is φ = 22872.

The previous prime is 53381. The next prime is 53401. The reversal of 53396 is 69335.

53396 = T120 + T121 + ... + T126.

53396 is nontrivially palindromic in base 9.

53396 is an admirable number.

It is a super-2 number, since 2×533962 = 5702265632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 53 + 33 + 33 + 94 + 66 .

It is a congruent number.

It is an unprimeable number.

53396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 926 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (8904).

253396 is an apocalyptic number.

It is an amenable number.

53396 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53424).

53396 is a wasteful number, since it uses less digits than its factorization.

53396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its digits is 2430, while the sum is 26.

The square root of 53396 is about 231.0757451573. The cubic root of 53396 is about 37.6561782825.

The spelling of 53396 in words is "fifty-three thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 1907 3814 7628 13349 26698 53396