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616709052 = 223410717789
BaseRepresentation
bin100100110000100…
…011101110111100
31120222110001210000
4210300203232330
52230334142202
6141110114300
721165640401
oct4460435674
91528401700
10616709052
11297130703
1215264b990
139a9c90cb
145bc962a8
153921d91c
hex24c23bbc

616709052 has 60 divisors (see below), whose sum is σ = 1627358040. Its totient is φ = 203637024.

The previous prime is 616709047. The next prime is 616709057. The reversal of 616709052 is 250907616.

616709052 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 (616709047) and next prime (616709057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 616708998 and 616709016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616709057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25774 + ... + 43562.

It is an arithmetic number, because the mean of its divisors is an integer number (27122634).

Almost surely, 2616709052 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 616709052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813679020).

616709052 is an abundant number, since it is smaller than the sum of its proper divisors (1010648988).

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

616709052 is a wasteful number, since it uses less digits than its factorization.

616709052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17912 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 616709052 is about 24833.6274434485. The cubic root of 616709052 is about 851.1905126393.

The spelling of 616709052 in words is "six hundred sixteen million, seven hundred nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 642 963 1284 1926 2889 3852 5778 8667 11556 17334 17789 34668 35578 53367 71156 106734 160101 213468 320202 480303 640404 960606 1440909 1903423 1921212 2881818 3806846 5710269 5763636 7613692 11420538 17130807 22841076 34261614 51392421 68523228 102784842 154177263 205569684 308354526 616709052