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614116928 = 2623795281
BaseRepresentation
bin100100100110101…
…010111001000000
31120210120101001102
4210212222321000
52224203220203
6140534353532
721134623235
oct4446527100
91523511042
10614116928
11295720157
121517bb8a8
139a2cc2c9
145b7bd78c
1538daa888
hex249aae40

614116928 has 56 divisors (see below), whose sum is σ = 1287962880. Its totient is φ = 289935360.

The previous prime is 614116903. The next prime is 614116969. The reversal of 614116928 is 829611416.

It is a junction number, because it is equal to n+sod(n) for n = 614116891 and 614116900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113648 + ... + 118928.

Almost surely, 2614116928 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 614116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643981440).

614116928 is an abundant number, since it is smaller than the sum of its proper divisors (673845952).

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

614116928 is a wasteful number, since it uses less digits than its factorization.

614116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5385 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 614116928 is about 24781.3826894304. The cubic root of 614116928 is about 849.9962758776.

The spelling of 614116928 in words is "six hundred fourteen million, one hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 316 368 632 736 1264 1472 1817 2528 3634 5056 5281 7268 10562 14536 21124 29072 42248 58144 84496 116288 121463 168992 242926 337984 417199 485852 834398 971704 1668796 1943408 3337592 3886816 6675184 7773632 9595577 13350368 19191154 26700736 38382308 76764616 153529232 307058464 614116928