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313648048 = 24719147391
BaseRepresentation
bin10010101100011…
…110001110110000
3210212011222020101
4102230132032300
51120243214143
651042322144
710525651540
oct2254361660
9725158211
10313648048
1115105646a
1289059354
134cc98c7c
142d927320
151c807b4d
hex12b1e3b0

313648048 has 40 divisors (see below), whose sum is σ = 731064320. Its totient is φ = 127344960.

The previous prime is 313648039. The next prime is 313648087. The reversal of 313648048 is 840846313.

It is a super-3 number, since 3×3136480483 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313647998 and 313648016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71568 + ... + 75823.

It is an arithmetic number, because the mean of its divisors is an integer number (18276608).

Almost surely, 2313648048 is an apocalyptic number.

313648048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

313648048 is an abundant number, since it is smaller than the sum of its proper divisors (417416272).

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

313648048 is a wasteful number, since it uses less digits than its factorization.

313648048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147425 (or 147419 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 313648048 is about 17710.1114620998. Note that the first 3 decimals coincide. The cubic root of 313648048 is about 679.4343970381.

The spelling of 313648048 in words is "three hundred thirteen million, six hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 147391 294782 589564 1031737 1179128 2063474 2358256 2800429 4126948 5600858 8253896 11201716 16507792 19603003 22403432 39206006 44806864 78412012 156824024 313648048