Search a number
-
+
53444952 = 23321167481
BaseRepresentation
bin1100101111100…
…0000101011000
310201120021200200
43023320011120
5102140214302
65145302200
71216163121
oct313700530
9121507620
1053444952
1128193a90
1215a94960
13b0c3442
147153048
154a5a81c
hex32f8158

53444952 has 48 divisors (see below), whose sum is σ = 157907880. Its totient is φ = 16195200.

The previous prime is 53444947. The next prime is 53444953. The reversal of 53444952 is 25944435.

It is a happy number.

It is a super-3 number, since 3×534449523 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53444953) 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, 32949 + ... + 34532.

Almost surely, 253444952 is an apocalyptic number.

It is an amenable number.

53444952 is an abundant number, since it is smaller than the sum of its proper divisors (104462928).

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

53444952 is a wasteful number, since it uses less digits than its factorization.

53444952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67504 (or 67497 counting only the distinct ones).

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

The square root of 53444952 is about 7310.6054468833. The cubic root of 53444952 is about 376.6768215429.

It can be divided in two parts, 5344 and 4952, that added together give a triangular number (10296 = T143).

The spelling of 53444952 in words is "fifty-three million, four hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 67481 134962 202443 269924 404886 539848 607329 742291 809772 1214658 1484582 1619544 2226873 2429316 2969164 4453746 4858632 5938328 6680619 8907492 13361238 17814984 26722476 53444952