Search a number
-
+
53542944 = 2534713227
BaseRepresentation
bin1100110001000…
…0000000100000
310201202021010000
43030100000200
5102201333234
65151340000
71220051610
oct314200040
9121667100
1053542944
1128250674
1215b21600
13b128c20
14717aa40
154a79899
hex3310020

53542944 has 240 divisors, whose sum is σ = 194660928. Its totient is φ = 14059008.

The previous prime is 53542927. The next prime is 53542963. The reversal of 53542944 is 44924535.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 53542899 and 53542908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235759 + ... + 235985.

Almost surely, 253542944 is an apocalyptic number.

53542944 is a gapful number since it is divisible by the number (54) 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 53542944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

53542944 is an abundant number, since it is smaller than the sum of its proper divisors (141117984).

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

53542944 is a wasteful number, since it uses less digits than its factorization.

53542944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53542944 is about 7317.3044217116. The cubic root of 53542944 is about 376.9068949022.

The spelling of 53542944 in words is "fifty-three million, five hundred forty-two thousand, nine hundred forty-four".