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613252096 = 21029107193
BaseRepresentation
bin100100100011010…
…111110000000000
31120201221102201121
4210203113300000
52223443031341
6140504042024
721124361662
oct4443276000
91521842647
10613252096
1129518a416
12151463314
139a088782
145b636532
1538c894d1
hex248d7c00

613252096 has 88 divisors (see below), whose sum is σ = 1286662320. Its totient is φ = 291766272.

The previous prime is 613252061. The next prime is 613252127. The reversal of 613252096 is 690252316.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 3177376 + ... + 3177568.

Almost surely, 2613252096 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 613252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643331160).

613252096 is an abundant number, since it is smaller than the sum of its proper divisors (673410224).

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

613252096 is a wasteful number, since it uses less digits than its factorization.

613252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 613252096 is about 24763.9273137360. The cubic root of 613252096 is about 849.5970851661.

The spelling of 613252096 in words is "six hundred thirteen million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 107 116 128 193 214 232 256 386 428 464 512 772 856 928 1024 1544 1712 1856 3088 3103 3424 3712 5597 6176 6206 6848 7424 11194 12352 12412 13696 14848 20651 22388 24704 24824 27392 29696 41302 44776 49408 49648 54784 82604 89552 98816 99296 109568 165208 179104 197632 198592 330416 358208 397184 598879 660832 716416 794368 1197758 1321664 1432832 1588736 2395516 2643328 2865664 3177472 4791032 5286656 5731328 9582064 10573312 19164128 21146624 38328256 76656512 153313024 306626048 613252096