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612356052 = 2237115871129
BaseRepresentation
bin100100011111111…
…100111111010100
31120200020220120210
4210133330333110
52223230343202
6140432525420
721113640420
oct4437747724
91520226523
10612356052
11294728190
121510b0870
1399b33979
145b481b80
1538b5dc6c
hex247fcfd4

612356052 has 96 divisors (see below), whose sum is σ = 1786014720. Its totient is φ = 158641920.

The previous prime is 612356039. The next prime is 612356057. The reversal of 612356052 is 250653216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612356057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541824 + ... + 542952.

It is an arithmetic number, because the mean of its divisors is an integer number (18604320).

Almost surely, 2612356052 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 612356052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893007360).

612356052 is an abundant number, since it is smaller than the sum of its proper divisors (1173658668).

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

612356052 is a wasteful number, since it uses less digits than its factorization.

612356052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 612356052 is about 24745.8289818709. The cubic root of 612356052 is about 849.1830915015.

The spelling of 612356052 in words is "six hundred twelve million, three hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 587 924 1129 1174 1761 2258 2348 3387 3522 4109 4516 6457 6774 7044 7903 8218 12327 12419 12914 13548 15806 16436 19371 23709 24654 24838 25828 31612 37257 38742 45199 47418 49308 49676 74514 77484 86933 90398 94836 135597 149028 173866 180796 260799 271194 347732 521598 542388 662723 1043196 1325446 1988169 2650892 3976338 4639061 7289953 7952676 9278122 13917183 14579906 18556244 21869859 27834366 29159812 43739718 51029671 55668732 87479436 102059342 153089013 204118684 306178026 612356052