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315806148 = 22337417733
BaseRepresentation
bin10010110100101…
…101000111000100
3211000020121121000
4102310231013010
51121321244043
651200453300
710553210430
oct2264550704
9730217530
10315806148
1115229a919
128991a230
1350573358
142dd299c0
151cad22d3
hex12d2d1c4

315806148 has 48 divisors (see below), whose sum is σ = 935724160. Its totient is φ = 90230112.

The previous prime is 315806131. The next prime is 315806167. The reversal of 315806148 is 841608513.

315806148 is a `hidden beast` number, since 31 + 5 + 8 + 0 + 614 + 8 = 666.

It is a super-2 number, since 2×3158061482 = 199467046229195808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208111 + ... + 209622.

Almost surely, 2315806148 is an apocalyptic number.

It is an amenable number.

315806148 is an abundant number, since it is smaller than the sum of its proper divisors (619918012).

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

315806148 is a wasteful number, since it uses less digits than its factorization.

315806148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417753 (or 417745 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 315806148 is about 17770.9354846615. The cubic root of 315806148 is about 680.9891515670.

The spelling of 315806148 in words is "three hundred fifteen million, eight hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 417733 835466 1253199 1670932 2506398 2924131 3759597 5012796 5848262 7519194 8772393 11278791 11696524 15038388 17544786 22557582 26317179 35089572 45115164 52634358 78951537 105268716 157903074 315806148