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5300952756 = 22311316312053
BaseRepresentation
bin1001110111111011…
…00001111010110100
3111200102200022010120
410323331201322310
541324020442011
62234001451540
7245235232521
oct47375417264
914612608116
105300952756
1122802822a0
12103b340bb0
13666301248
14384042148
152105a2a06
hex13bf61eb4

5300952756 has 96 divisors (see below), whose sum is σ = 13957472256. Its totient is φ = 1551312000.

The previous prime is 5300952751. The next prime is 5300952757. The reversal of 5300952756 is 6572590035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300952751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581026 + ... + 2583078.

It is an arithmetic number, because the mean of its divisors is an integer number (145390336).

Almost surely, 25300952756 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 5300952756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978736128).

5300952756 is an abundant number, since it is smaller than the sum of its proper divisors (8656519500).

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

5300952756 is a wasteful number, since it uses less digits than its factorization.

5300952756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 5300952756 is about 72807.6421538289. The cubic root of 5300952756 is about 1743.6178693988.

The spelling of 5300952756 in words is "five billion, three hundred million, nine hundred fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 631 682 1023 1262 1364 1893 2046 2053 2524 3786 4092 4106 6159 6941 7572 8212 12318 13882 19561 20823 22583 24636 27764 39122 41646 45166 58683 63643 67749 78244 83292 90332 117366 127286 135498 190929 215171 234732 254572 270996 381858 430342 645513 700073 763716 860684 1291026 1295443 1400146 2100219 2582052 2590886 2800292 3886329 4200438 5181772 7772658 8400876 14249873 15545316 28499746 40158733 42749619 56999492 80317466 85499238 120476199 160634932 170998476 240952398 441746063 481904796 883492126 1325238189 1766984252 2650476378 5300952756