Search a number
-
+
5357502906 = 23735944123
BaseRepresentation
bin1001111110101010…
…10000000110111010
3111211101002100100120
410333111100012322
541433010043111
62243341514110
7246523011000
oct47725200672
914741070316
105357502906
1122aa197258
121056272936
13674c40b82
1438b762a70
15215523406
hex13f5501ba

5357502906 has 64 divisors (see below), whose sum is σ = 12707712000. Its totient is φ = 1504736688.

The previous prime is 5357502901. The next prime is 5357502911. The reversal of 5357502906 is 6092057535.

It is an interprime number because it is at equal distance from previous prime (5357502901) and next prime (5357502911).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5357502901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99361 + ... + 143483.

It is an arithmetic number, because the mean of its divisors is an integer number (198558000).

Almost surely, 25357502906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5357502906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353856000).

5357502906 is an abundant number, since it is smaller than the sum of its proper divisors (7350209094).

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

5357502906 is a wasteful number, since it uses less digits than its factorization.

5357502906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44208 (or 44194 counting only the distinct ones).

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

The square root of 5357502906 is about 73194.9650317561. The cubic root of 5357502906 is about 1749.7962109362.

The spelling of 5357502906 in words is "five billion, three hundred fifty-seven million, five hundred two thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 343 354 413 686 826 1029 1239 2058 2478 2891 5782 8673 17346 20237 40474 44123 60711 88246 121422 132369 264738 308861 617722 926583 1853166 2162027 2603257 4324054 5206514 6486081 7809771 12972162 15134189 15619542 18222799 30268378 36445598 45402567 54668397 90805134 109336794 127559593 255119186 382678779 765357558 892917151 1785834302 2678751453 5357502906