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315352050 = 235213592741
BaseRepresentation
bin10010110010111…
…110001111110010
3210222101112200120
4102302332033302
51121212231200
651143031110
710546306506
oct2262761762
9728345616
10315352050
1115200a732
128973b496
1350444760
142dc4c306
151ca429a0
hex12cbe3f2

315352050 has 96 divisors (see below), whose sum is σ = 856820160. Its totient is φ = 76281600.

The previous prime is 315352039. The next prime is 315352087. The reversal of 315352050 is 50253513.

It is a self number, because there is not a number n which added to its sum of digits gives 315352050.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 113680 + ... + 116420.

It is an arithmetic number, because the mean of its divisors is an integer number (8925210).

Almost surely, 2315352050 is an apocalyptic number.

315352050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315352050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428410080).

315352050 is an abundant number, since it is smaller than the sum of its proper divisors (541468110).

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

315352050 is a wasteful number, since it uses less digits than its factorization.

315352050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 315352050 is about 17758.1544649212. The cubic root of 315352050 is about 680.6625966545.

The spelling of 315352050 in words is "three hundred fifteen million, three hundred fifty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 59 65 75 78 118 130 150 177 195 295 325 354 390 590 650 767 885 975 1475 1534 1770 1950 2301 2741 2950 3835 4425 4602 5482 7670 8223 8850 11505 13705 16446 19175 23010 27410 35633 38350 41115 57525 68525 71266 82230 106899 115050 137050 161719 178165 205575 213798 323438 356330 411150 485157 534495 808595 890825 970314 1068990 1617190 1781650 2102347 2425785 2672475 4042975 4204694 4851570 5344950 6307041 8085950 10511735 12128925 12614082 21023470 24257850 31535205 52558675 63070410 105117350 157676025 315352050