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53364024 = 23327113937
BaseRepresentation
bin1100101110010…
…0010100111000
310201102011200100
43023210110320
5102130122044
65143435400
71215405150
oct313442470
9121364610
1053364024
11281391aa
1215a55b60
13b09565c
147131760
154a41869
hex32e4538

53364024 has 96 divisors (see below), whose sum is σ = 166813920. Its totient is φ = 15095808.

The previous prime is 53364023. The next prime is 53364041. The reversal of 53364024 is 42046335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53364023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56484 + ... + 57420.

It is an arithmetic number, because the mean of its divisors is an integer number (1737645).

Almost surely, 253364024 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 53364024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83406960).

53364024 is an abundant number, since it is smaller than the sum of its proper divisors (113449896).

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

53364024 is a wasteful number, since it uses less digits than its factorization.

53364024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 53364024 is about 7305.0683775034. The cubic root of 53364024 is about 376.4866002649.

The spelling of 53364024 in words is "fifty-three million, three hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 937 1017 1356 1582 1874 2034 2373 2712 2811 3164 3748 4068 4746 5622 6328 6559 7119 7496 8136 8433 9492 11244 13118 14238 16866 18984 19677 22488 26236 28476 33732 39354 52472 56952 59031 67464 78708 105881 118062 157416 211762 236124 317643 423524 472248 635286 741167 847048 952929 1270572 1482334 1905858 2223501 2541144 2964668 3811716 4447002 5929336 6670503 7623432 8894004 13341006 17788008 26682012 53364024