Search a number
-
+
53415936 = 21234723
BaseRepresentation
bin1100101111000…
…1000000000000
310201111210220000
43023301000000
5102133302221
65144520000
71216012410
oct313610000
9121453800
1053415936
1128174202
1215a80000
13b0b3182
147146640
154a51e26
hex32f1000

53415936 has 260 divisors, whose sum is σ = 190293312. Its totient is φ = 14598144.

The previous prime is 53415919. The next prime is 53415937. The reversal of 53415936 is 63951435.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53415936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53415937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322421 + ... + 2322443.

Almost surely, 253415936 is an apocalyptic number.

53415936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95146656).

53415936 is an abundant number, since it is smaller than the sum of its proper divisors (136877376).

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

53415936 is an equidigital number, since it uses as much as digits as its factorization.

53415936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 53415936 is about 7308.6206632989. The cubic root of 53415936 is about 376.6086415260.

The spelling of 53415936 in words is "fifty-three million, four hundred fifteen thousand, nine hundred thirty-six".