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315828045 = 335132109127
BaseRepresentation
bin10010110100110…
…010011101001101
3211000021201122000
4102310302131031
51121322444140
651201142513
710553331321
oct2264623515
9730251560
10315828045
11152305315
128992aa39
1350580300
142dd33981
151cad8a30
hex12d3274d

315828045 has 96 divisors (see below), whose sum is σ = 618393600. Its totient is φ = 152845056.

The previous prime is 315827977. The next prime is 315828059. The reversal of 315828045 is 540828513.

It is a happy number.

315828045 is a `hidden beast` number, since 31 + 582 + 8 + 0 + 45 = 666.

It is not a de Polignac number, because 315828045 - 27 = 315827917 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486772 + ... + 2486898.

It is an arithmetic number, because the mean of its divisors is an integer number (6441600).

Almost surely, 2315828045 is an apocalyptic number.

It is an amenable number.

315828045 is a deficient number, since it is larger than the sum of its proper divisors (302565555).

315828045 is a wasteful number, since it uses less digits than its factorization.

315828045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 315828045 is about 17771.5515642276. The cubic root of 315828045 is about 681.0048904149.

The spelling of 315828045 in words is "three hundred fifteen million, eight hundred twenty-eight thousand, forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 109 117 127 135 169 195 327 351 381 507 545 585 635 845 981 1143 1417 1521 1635 1651 1755 1905 2535 2943 3429 4251 4563 4905 4953 5715 7085 7605 8255 12753 13843 14715 14859 17145 18421 21255 21463 22815 24765 38259 41529 44577 55263 63765 64389 69215 74295 92105 107315 124587 165789 179959 191295 193167 207645 222885 276315 321945 373761 497367 539877 579501 622935 828945 899795 965835 1619631 1868805 2339467 2486835 2699385 2897505 4858893 7018401 8098155 11697335 21055203 24294465 35092005 63165609 105276015 315828045