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315552016 = 24132952313
BaseRepresentation
bin10010110011101…
…111000100010000
3210222202200222201
4102303233010100
51121240131031
651151212544
710551101503
oct2263570420
9728680881
10315552016
1115213699a
1289817154
13504b4790
142dca113a
151ca81d61
hex12cef110

315552016 has 40 divisors (see below), whose sum is σ = 681128280. Its totient is φ = 140614656.

The previous prime is 315551993. The next prime is 315552071. The reversal of 315552016 is 610255513.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 248377600 = 8196^2 + 15760^2 .

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 7 ways as a sum of consecutive naturals, for example, 20125 + ... + 32188.

It is an arithmetic number, because the mean of its divisors is an integer number (17028207).

Almost surely, 2315552016 is an apocalyptic number.

It is an amenable number.

315552016 is an abundant number, since it is smaller than the sum of its proper divisors (365576264).

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

315552016 is a wasteful number, since it uses less digits than its factorization.

315552016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52363 (or 52357 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 315552016 is about 17763.7838311549. The cubic root of 315552016 is about 680.8064365500.

The spelling of 315552016 in words is "three hundred fifteen million, five hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 52313 104626 209252 418504 680069 837008 1360138 1517077 2720276 3034154 5440552 6068308 10881104 12136616 19722001 24273232 39444002 78888004 157776008 315552016