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611314056 = 2332192319429
BaseRepresentation
bin100100011011111…
…110100110001000
31120121021222020100
4210123332212020
52222444022211
6140354325400
721102040503
oct4433764610
91517258210
10611314056
11294086331
12150889860
139985a5c2
145b29013a
1538a05156
hex246fe988

611314056 has 96 divisors (see below), whose sum is σ = 1818648000. Its totient is φ = 184643712.

The previous prime is 611314051. The next prime is 611314061. The reversal of 611314056 is 650413116.

611314056 is a `hidden beast` number, since 611 + 3 + 1 + 40 + 5 + 6 = 666.

611314056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (611314051) and next prime (611314061).

It is a super-2 number, since 2×6113140562 = 747409750126342272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (611314051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21750 + ... + 41178.

It is an arithmetic number, because the mean of its divisors is an integer number (18944250).

Almost surely, 2611314056 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 611314056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909324000).

611314056 is an abundant number, since it is smaller than the sum of its proper divisors (1207333944).

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

611314056 is a wasteful number, since it uses less digits than its factorization.

611314056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19483 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 611314056 is about 24724.7660454048. The cubic root of 611314056 is about 848.7011563341.

The spelling of 611314056 in words is "six hundred eleven million, three hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 19429 31464 38858 58287 77716 116574 155432 174861 233148 349722 369151 446867 466296 699444 738302 893734 1107453 1340601 1398888 1476604 1787468 2214906 2681202 2953208 3322359 3574936 4021803 4429812 5362404 6644718 8043606 8490473 8859624 10724808 13289436 16087212 16980946 25471419 26578872 32174424 33961892 50942838 67923784 76414257 101885676 152828514 203771352 305657028 611314056