Search a number
-
+
52953912 = 233411171923
BaseRepresentation
bin1100101000000…
…0001100111000
310200122100010000
43022000030320
5102024011122
65130553000
71212046404
oct312001470
9120570100
1052953912
1127989070
1215898760
13ac80a9b
147066104
1549b00ac
hex3280338

52953912 has 320 divisors, whose sum is σ = 188179200. Its totient is φ = 13685760.

The previous prime is 52953911. The next prime is 52953977. The reversal of 52953912 is 21935925.

It is a happy number.

It is a super-2 number, since 2×529539122 = 5608233592207488, which contains 22 as substring.

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

Its product of digits (24300) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52953911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2302333 + ... + 2302355.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 252953912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52953912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

52953912 is an abundant number, since it is smaller than the sum of its proper divisors (135225288).

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

52953912 is a wasteful number, since it uses less digits than its factorization.

52953912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 52953912 is about 7276.9438640132. The cubic root of 52953912 is about 375.5196635335.

The spelling of 52953912 in words is "fifty-two million, nine hundred fifty-three thousand, nine hundred twelve".