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52140384 = 2532197919
BaseRepresentation
bin1100011011100…
…1100101100000
310122010000011100
43012321211200
5101321443014
65101314400
71202120532
oct306714540
9118100140
1052140384
112748292a
1215565a00
13aa576ca
146cd3852
15489e009
hex31b9960

52140384 has 72 divisors (see below), whose sum is σ = 149189040. Its totient is φ = 17273088.

The previous prime is 52140367. The next prime is 52140391. The reversal of 52140384 is 48304125.

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

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, 56277 + ... + 57195.

It is an arithmetic number, because the mean of its divisors is an integer number (2072070).

Almost surely, 252140384 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 52140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74594520).

52140384 is an abundant number, since it is smaller than the sum of its proper divisors (97048656).

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

52140384 is a wasteful number, since it uses less digits than its factorization.

52140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52140384 is about 7220.8298692048. The cubic root of 52140384 is about 373.5867015917.

The spelling of 52140384 in words is "fifty-two million, one hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 788 919 1182 1576 1773 1838 2364 2757 3152 3546 3676 4728 5514 6304 7092 7352 8271 9456 11028 14184 14704 16542 18912 22056 28368 29408 33084 44112 56736 66168 88224 132336 181043 264672 362086 543129 724172 1086258 1448344 1629387 2172516 2896688 3258774 4345032 5793376 6517548 8690064 13035096 17380128 26070192 52140384