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53531296 = 2571331593
BaseRepresentation
bin1100110000110…
…1001010100000
310201201200010121
43030031022200
5102201000141
65151210024
71220002630
oct314151240
9121650117
1053531296
1128242945
1215b16914
13b123830
1471766c0
154a761d1
hex330d2a0

53531296 has 96 divisors (see below), whose sum is σ = 134120448. Its totient is φ = 20459520.

The previous prime is 53531273. The next prime is 53531297. The reversal of 53531296 is 69213535.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53531297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89976 + ... + 90568.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 253531296 is an apocalyptic number.

53531296 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 53531296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060224).

53531296 is an abundant number, since it is smaller than the sum of its proper divisors (80589152).

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

53531296 is a wasteful number, since it uses less digits than its factorization.

53531296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 24300, while the sum is 34.

The square root of 53531296 is about 7316.5084569076. The cubic root of 53531296 is about 376.8795615160.

The spelling of 53531296 in words is "fifty-three million, five hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 593 728 806 868 992 1186 1456 1612 1736 2372 2821 2912 3224 3472 4151 4744 5642 6448 6944 7709 8302 9488 11284 12896 15418 16604 18383 18976 22568 30836 33208 36766 45136 53963 61672 66416 73532 90272 107926 123344 128681 132832 147064 215852 238979 246688 257362 294128 431704 477958 514724 588256 863408 955916 1029448 1672853 1726816 1911832 2058896 3345706 3823664 4117792 6691412 7647328 13382824 26765648 53531296