Search a number
-
+
315090048 = 27371371127
BaseRepresentation
bin10010110001111…
…110010010000000
3210221220020021210
4102301332102000
51121130340143
651133250120
710544135610
oct2261762200
9727806253
10315090048
111519508a9
1289633940
1350382420
142dbc0a40
151c9e0033
hex12c7e480

315090048 has 256 divisors, whose sum is σ = 1052835840. Its totient is φ = 81285120.

The previous prime is 315090029. The next prime is 315090059. The reversal of 315090048 is 840090513.

It is a junction number, because it is equal to n+sod(n) for n = 315089997 and 315090024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480961 + ... + 2481087.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2315090048 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 315090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526417920).

315090048 is an abundant number, since it is smaller than the sum of its proper divisors (737745792).

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

315090048 is a wasteful number, since it uses less digits than its factorization.

315090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 315090048 is about 17750.7759830380. The cubic root of 315090048 is about 680.4740408560.

The spelling of 315090048 in words is "three hundred fifteen million, ninety thousand, forty-eight".