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53364416 = 267235179
BaseRepresentation
bin1100101110010…
…0011011000000
310201102012012212
43023210123000
5102130130131
65143441252
71215406250
oct313443300
9121365185
1053364416
1128139526
1215a56228
13b0958a1
147131960
154a41a2b
hex32e46c0

53364416 has 56 divisors (see below), whose sum is σ = 126309120. Its totient is φ = 21871872.

The previous prime is 53364413. The next prime is 53364427. The reversal of 53364416 is 61446335.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53364413) 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 7 ways as a sum of consecutive naturals, for example, 7715 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (2255520).

Almost surely, 253364416 is an apocalyptic number.

53364416 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 53364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63154560).

53364416 is an abundant number, since it is smaller than the sum of its proper divisors (72944704).

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

53364416 is a wasteful number, since it uses less digits than its factorization.

53364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5211 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 53364416 is about 7305.0952081407. The cubic root of 53364416 is about 376.4875221243.

The spelling of 53364416 in words is "fifty-three million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 5179 10304 10358 20716 36253 41432 72506 82864 119117 145012 165728 238234 290024 331456 476468 580048 833819 952936 1160096 1667638 1905872 2320192 3335276 3811744 6670552 7623488 13341104 26682208 53364416