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313070048 = 2559792099
BaseRepresentation
bin10010101010010…
…001000111100000
3210211002121100222
4102222101013200
51120121220143
651022102212
710521023444
oct2252210740
9724077328
10313070048
111507a1185
1288a1a968
134cb25b65
142d816824
151c741768
hex12a911e0

313070048 has 48 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 151861632.

The previous prime is 313070047. The next prime is 313070053. The reversal of 313070048 is 840070313.

It is a junction number, because it is equal to n+sod(n) for n = 313069999 and 313070026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313070047) 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 7 ways as a sum of consecutive naturals, for example, 148103 + ... + 150201.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2313070048 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 313070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

313070048 is an abundant number, since it is smaller than the sum of its proper divisors (321969952).

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

313070048 is a wasteful number, since it uses less digits than its factorization.

313070048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 313070048 is about 17693.7855757325. The cubic root of 313070048 is about 679.0167797271.

The spelling of 313070048 in words is "three hundred thirteen million, seventy thousand, forty-eight".

Divisors: 1 2 4 8 16 32 59 79 118 158 236 316 472 632 944 1264 1888 2099 2528 4198 4661 8396 9322 16792 18644 33584 37288 67168 74576 123841 149152 165821 247682 331642 495364 663284 990728 1326568 1981456 2653136 3962912 5306272 9783439 19566878 39133756 78267512 156535024 313070048