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52364016 = 2433472579
BaseRepresentation
bin1100011111000…
…0001011110000
310122112100221000
43013300023300
5101401122031
65110202000
71204041525
oct307601360
9118470830
1052364016
1127615951
1215653300
13ab05433
146d5114c
1548e53e6
hex31f02f0

52364016 has 80 divisors (see below), whose sum is σ = 153561600. Its totient is φ = 17076672.

The previous prime is 52363967. The next prime is 52364021. The reversal of 52364016 is 61046325.

52364016 is a `hidden beast` number, since 5 + 2 + 3 + 640 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19015 + ... + 21593.

It is an arithmetic number, because the mean of its divisors is an integer number (1919520).

Almost surely, 252364016 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 52364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780800).

52364016 is an abundant number, since it is smaller than the sum of its proper divisors (101197584).

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

52364016 is a wasteful number, since it uses less digits than its factorization.

52364016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52364016 is about 7236.2985013058. The cubic root of 52364016 is about 374.1200487773.

Subtracting from 52364016 its product of nonzero digits (4320), we obtain a square (52359696 = 72362).

The spelling of 52364016 in words is "fifty-two million, three hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 2579 3384 5076 5158 6768 7737 10152 10316 15474 20304 20632 23211 30948 41264 46422 61896 69633 92844 121213 123792 139266 185688 242426 278532 363639 371376 484852 557064 727278 969704 1090917 1114128 1454556 1939408 2181834 2909112 3272751 4363668 5818224 6545502 8727336 13091004 17454672 26182008 52364016