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53456304 = 24311137739
BaseRepresentation
bin1100101111101…
…0110110110000
310201120212021010
43023322312300
5102141100204
65145430520
71216241166
oct313726660
9121525233
1053456304
11281a1570
1215a9b440
13b0c8665
147157236
154a5dd89
hex32fadb0

53456304 has 80 divisors (see below), whose sum is σ = 151954560. Its totient is φ = 16058880.

The previous prime is 53456303. The next prime is 53456311. The reversal of 53456304 is 40365435.

It is not an unprimeable number, because it can be changed into a prime (53456303) 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, 71967 + ... + 72705.

It is an arithmetic number, because the mean of its divisors is an integer number (1899432).

Almost surely, 253456304 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 53456304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75977280).

53456304 is an abundant number, since it is smaller than the sum of its proper divisors (98498256).

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

53456304 is a wasteful number, since it uses less digits than its factorization.

53456304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 53456304 is about 7311.3818119423. The cubic root of 53456304 is about 376.7034890604.

The spelling of 53456304 in words is "fifty-three million, four hundred fifty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 137 176 264 274 411 528 548 739 822 1096 1478 1507 1644 2192 2217 2956 3014 3288 4434 4521 5912 6028 6576 8129 8868 9042 11824 12056 16258 17736 18084 24112 24387 32516 35472 36168 48774 65032 72336 97548 101243 130064 195096 202486 303729 390192 404972 607458 809944 1113673 1214916 1619888 2227346 2429832 3341019 4454692 4859664 6682038 8909384 13364076 17818768 26728152 53456304