Search a number
-
+
5357420256 = 253178339551
BaseRepresentation
bin1001111110101001…
…11011111011100000
3111211100221010222110
410333110323323200
541432444422011
62243340035320
7246522215016
oct47724737340
914740833873
105357420256
1122aa140151
121056232b40
13674c12376
1438b7408b6
15215508ba6
hex13f53bee0

5357420256 has 96 divisors (see below), whose sum is σ = 15070261248. Its totient is φ = 1660467200.

The previous prime is 5357420251. The next prime is 5357420269. The reversal of 5357420256 is 6520247535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357420251) 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, 115681 + ... + 155231.

It is an arithmetic number, because the mean of its divisors is an integer number (156981888).

Almost surely, 25357420256 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 5357420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535130624).

5357420256 is an abundant number, since it is smaller than the sum of its proper divisors (9712840992).

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

5357420256 is a wasteful number, since it uses less digits than its factorization.

5357420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39664 (or 39656 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 5357420256 is about 73194.4004415638. The cubic root of 5357420256 is about 1749.7872128760.

The spelling of 5357420256 in words is "five billion, three hundred fifty-seven million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1328 1411 1632 1992 2656 2822 3984 4233 5644 7968 8466 11288 16932 22576 33864 39551 45152 67728 79102 118653 135456 158204 237306 316408 474612 632816 672367 949224 1265632 1344734 1898448 2017101 2689468 3282733 3796896 4034202 5378936 6565466 8068404 9848199 10757872 13130932 16136808 19696398 21515744 26261864 32273616 39392796 52523728 55806461 64547232 78785592 105047456 111612922 157571184 167419383 223225844 315142368 334838766 446451688 669677532 892903376 1339355064 1785806752 2678710128 5357420256