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315281472 = 26311241331
BaseRepresentation
bin10010110010101…
…101000001000000
3210222020221212120
4102302231001000
51121203001342
651141324240
710545563652
oct2262550100
9728227776
10315281472
11151a71700
1289706680
135041b5ac
142dc306d2
151ca2baec
hex12cad040

315281472 has 168 divisors, whose sum is σ = 942112416. Its totient is φ = 92928000.

The previous prime is 315281443. The next prime is 315281503. The reversal of 315281472 is 274182513.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952347 + ... + 952677.

It is an arithmetic number, because the mean of its divisors is an integer number (5607812).

Almost surely, 2315281472 is an apocalyptic number.

315281472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471056208).

315281472 is an abundant number, since it is smaller than the sum of its proper divisors (626830944).

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

315281472 is a wasteful number, since it uses less digits than its factorization.

315281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 315281472 is about 17756.1671539778. The cubic root of 315281472 is about 680.6118138451.

The spelling of 315281472 in words is "three hundred fifteen million, two hundred eighty-one thousand, four hundred seventy-two".