Search a number
-
+
613064816 = 247132318307
BaseRepresentation
bin100100100010101…
…010000001110000
31120201120220211022
4210202222001300
52223421033231
6140500035012
721122651660
oct4442520160
91521526738
10613064816
11295071741
12151392a68
139a021460
145b5c81a0
1538c4dc7b
hex248aa070

613064816 has 80 divisors (see below), whose sum is σ = 1525569024. Its totient is φ = 231973632.

The previous prime is 613064789. The next prime is 613064819. The reversal of 613064816 is 618460316.

It is a super-2 number, since 2×6130648162 = 751696937234227712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613064819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24335 + ... + 42641.

Almost surely, 2613064816 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 613064816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762784512).

613064816 is an abundant number, since it is smaller than the sum of its proper divisors (912504208).

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

613064816 is a wasteful number, since it uses less digits than its factorization.

613064816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18358 (or 18352 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 613064816 is about 24760.1457184727. The cubic root of 613064816 is about 849.5105906978.

The spelling of 613064816 in words is "six hundred thirteen million, sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 8372 16744 18307 33488 36614 73228 128149 146456 237991 256298 292912 421061 475982 512596 842122 951964 1025192 1665937 1684244 1903928 2050384 2947427 3331874 3368488 3807856 5473793 5894854 6663748 6736976 10947586 11789708 13327496 21895172 23579416 26654992 38316551 43790344 47158832 76633102 87580688 153266204 306532408 613064816