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52102368 = 25321311381
BaseRepresentation
bin1100011011000…
…0010011100000
310122001002000100
43012300103200
5101314233433
65100422400
71201601643
oct306602340
9118032010
1052102368
112745730a
1215547a00
13aa43306
146cc3a5a
154892b13
hex31b04e0

52102368 has 72 divisors (see below), whose sum is σ = 149405256. Its totient is φ = 17222400.

The previous prime is 52102361. The next prime is 52102387. The reversal of 52102368 is 86320125.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52102361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37038 + ... + 38418.

It is an arithmetic number, because the mean of its divisors is an integer number (2075073).

Almost surely, 252102368 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 52102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74702628).

52102368 is an abundant number, since it is smaller than the sum of its proper divisors (97302888).

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

52102368 is a wasteful number, since it uses less digits than its factorization.

52102368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52102368 is about 7218.1970047928. The cubic root of 52102368 is about 373.4958844296.

The spelling of 52102368 in words is "fifty-two million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1381 1572 2096 2358 2762 3144 4143 4192 4716 5524 6288 8286 9432 11048 12429 12576 16572 18864 22096 24858 33144 37728 44192 49716 66288 99432 132576 180911 198864 361822 397728 542733 723644 1085466 1447288 1628199 2170932 2894576 3256398 4341864 5789152 6512796 8683728 13025592 17367456 26051184 52102368