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313415025 = 35272117753
BaseRepresentation
bin10010101011100…
…101010101110001
3210211202010120220
4102223211111301
51120213240100
651033323253
710523661300
oct2253452561
9724663526
10313415025
11150a07390
1288b66529
134cc16ba1
142d8a6437
151c7adaa0
hex12ae5571

313415025 has 72 divisors (see below), whose sum is σ = 657663264. Its totient is φ = 130233600.

The previous prime is 313414993. The next prime is 313415033. The reversal of 313415025 is 520514313.

It is not a de Polignac number, because 313415025 - 25 = 313414993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313414986 and 313415004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36549 + ... + 44301.

It is an arithmetic number, because the mean of its divisors is an integer number (9134212).

Almost surely, 2313415025 is an apocalyptic number.

313415025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313415025 is an abundant number, since it is smaller than the sum of its proper divisors (344248239).

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

313415025 is a wasteful number, since it uses less digits than its factorization.

313415025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 313415025 is about 17703.5314273735. The cubic root of 313415025 is about 679.2660947353.

Adding to 313415025 its reverse (520514313), we get a palindrome (833929338).

The spelling of 313415025 in words is "three hundred thirteen million, four hundred fifteen thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 1155 1225 1617 1925 2695 3675 5775 7753 8085 13475 23259 38765 40425 54271 85283 116295 162813 193825 255849 271355 379897 426415 581475 596981 814065 1139691 1279245 1356775 1790943 1899485 2132075 2984905 4070325 4178867 5698455 6396225 8954715 9497425 12536601 14924525 20894335 28492275 44773575 62683005 104471675 313415025