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610085056 = 2674792843
BaseRepresentation
bin100100010111010…
…010100011000000
31120111222112100211
4210113102203000
52222140210211
6140312123504
721055431430
oct4427224300
91514875324
10610085056
11293416a29
12150396594
139951a099
145b0502c0
1538860e21
hex245d28c0

610085056 has 56 divisors (see below), whose sum is σ = 1386961920. Its totient is φ = 260827392.

The previous prime is 610085033. The next prime is 610085057. The reversal of 610085056 is 650580016.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (610085057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213171 + ... + 216013.

Almost surely, 2610085056 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 610085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693480960).

610085056 is an abundant number, since it is smaller than the sum of its proper divisors (776876864).

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

610085056 is a wasteful number, since it uses less digits than its factorization.

610085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 610085056 is about 24699.8999188256. The cubic root of 610085056 is about 848.1320252491.

The spelling of 610085056 in words is "six hundred ten million, eighty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 479 958 1916 2843 3353 3832 5686 6706 7664 11372 13412 15328 19901 22744 26824 30656 39802 45488 53648 79604 90976 107296 159208 181952 214592 318416 636832 1273664 1361797 2723594 5447188 9532579 10894376 19065158 21788752 38130316 43577504 76260632 87155008 152521264 305042528 610085056