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53413992 = 2334312659
BaseRepresentation
bin1100101111000…
…0100001101000
310201111201020000
43023300201220
5102133221432
65144503000
71216003632
oct313604150
9121451200
1053413992
11281727a5
1215a7aa60
13b0b2318
147145a52
154a5157c
hex32f0868

53413992 has 80 divisors (see below), whose sum is σ = 154492800. Its totient is φ = 17223840.

The previous prime is 53413963. The next prime is 53413993. The reversal of 53413992 is 29931435.

It is a happy number.

53413992 is a `hidden beast` number, since 534 + 1 + 39 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53413993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18759 + ... + 21417.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 253413992 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 53413992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77246400).

53413992 is an abundant number, since it is smaller than the sum of its proper divisors (101078808).

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

53413992 is a wasteful number, since it uses less digits than its factorization.

53413992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 53413992 is about 7308.4876684578. The cubic root of 53413992 is about 376.6040727516.

The spelling of 53413992 in words is "fifty-three million, four hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 2659 3348 5022 5318 6696 7977 10044 10636 15954 20088 21272 23931 31908 47862 63816 71793 82429 95724 143586 164858 191448 215379 247287 287172 329716 430758 494574 574344 659432 741861 861516 989148 1483722 1723032 1978296 2225583 2967444 4451166 5934888 6676749 8902332 13353498 17804664 26706996 53413992