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652012816 = 24731321937
BaseRepresentation
bin100110110111001…
…110110100010000
31200102212200102211
4212313032310100
52313403402231
6144410521504
722105006000
oct4667166420
91612780384
10652012816
11305053974
12162436294
13a510a200
1462846000
153c393eb1
hex26dced10

652012816 has 240 divisors, whose sum is σ = 1724592000. Its totient is φ = 237758976.

The previous prime is 652012813. The next prime is 652012817. The reversal of 652012816 is 618210256.

652012816 = T133 + T134 + ... + T1575.

652012816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652012813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17621950 + ... + 17621986.

It is an arithmetic number, because the mean of its divisors is an integer number (7185800).

Almost surely, 2652012816 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 652012816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862296000).

652012816 is an abundant number, since it is smaller than the sum of its proper divisors (1072579184).

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

652012816 is a wasteful number, since it uses less digits than its factorization.

652012816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 652012816 is about 25534.5416250224. The cubic root of 652012816 is about 867.1323275329.

The spelling of 652012816 in words is "six hundred fifty-two million, twelve thousand, eight hundred sixteen".