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52534368 = 2532792309
BaseRepresentation
bin1100100001100…
…1110001100000
310122212000121100
43020121301200
5101422044433
65113554400
71205351265
oct310316140
9118760540
1052534368
1127721937
1215715a00
13ab64b33
146d9726c
15492ab13
hex3219c60

52534368 has 72 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 17282304.

The previous prime is 52534357. The next prime is 52534379. The reversal of 52534368 is 86343525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52534357) and next prime (52534379).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21598 + ... + 23906.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 252534368 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 52534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

52534368 is an abundant number, since it is smaller than the sum of its proper divisors (98816832).

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

52534368 is a wasteful number, since it uses less digits than its factorization.

52534368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2393 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 52534368 is about 7248.0596024039. The cubic root of 52534368 is about 374.5253087020.

The spelling of 52534368 in words is "fifty-two million, five hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2309 2528 2844 3792 4618 5688 6927 7584 9236 11376 13854 18472 20781 22752 27708 36944 41562 55416 73888 83124 110832 166248 182411 221664 332496 364822 547233 664992 729644 1094466 1459288 1641699 2188932 2918576 3283398 4377864 5837152 6566796 8755728 13133592 17511456 26267184 52534368