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315897216 = 2739072
BaseRepresentation
bin10010110101000…
…011010110000000
3211000102020111220
4102311003112000
51121332202331
651202435040
710554040065
oct2265032600
9730366456
10315897216
11152352288
1289962a80
13505a593b
142dd50c6c
151caee296
hex12d43580

315897216 has 48 divisors (see below), whose sum is σ = 840028140. Its totient is φ = 105182976.

The previous prime is 315897209. The next prime is 315897217. The reversal of 315897216 is 612798513.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315897217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347835 + ... + 348741.

Almost surely, 2315897216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420014070).

315897216 is an abundant number, since it is smaller than the sum of its proper divisors (524130924).

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

315897216 is an frugal number, since it uses more digits than its factorization.

315897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 912 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 315897216 is about 17773.4975736347. The cubic root of 315897216 is about 681.0546034908.

The spelling of 315897216 in words is "three hundred fifteen million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 907 1814 2721 3628 5442 7256 10884 14512 21768 29024 43536 58048 87072 116096 174144 348288 822649 1645298 2467947 3290596 4935894 6581192 9871788 13162384 19743576 26324768 39487152 52649536 78974304 105299072 157948608 315897216