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315025464 = 233132101769
BaseRepresentation
bin10010110001101…
…110100000111000
3210221202221200210
4102301232200320
51121121303324
651132031120
710543446405
oct2261564070
9727687623
10315025464
11151907326
12896024a0
135035bc00
142dba52ac
151c9cad29
hex12c6e838

315025464 has 96 divisors (see below), whose sum is σ = 862369200. Its totient is φ = 95846400.

The previous prime is 315025433. The next prime is 315025483. The reversal of 315025464 is 464520513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409272 + ... + 410040.

Almost surely, 2315025464 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 315025464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431184600).

315025464 is an abundant number, since it is smaller than the sum of its proper divisors (547343736).

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

315025464 is a wasteful number, since it uses less digits than its factorization.

315025464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 315025464 is about 17748.9567017332. The cubic root of 315025464 is about 680.4275454295.

Adding to 315025464 its reverse (464520513), we get a palindrome (779545977).

The spelling of 315025464 in words is "three hundred fifteen million, twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 169 202 303 312 338 404 507 606 676 769 808 1014 1212 1313 1352 1538 2028 2307 2424 2626 3076 3939 4056 4614 5252 6152 7878 9228 9997 10504 15756 17069 18456 19994 29991 31512 34138 39988 51207 59982 68276 77669 79976 102414 119964 129961 136552 155338 204828 233007 239928 259922 310676 389883 409656 466014 519844 621352 779766 932028 1009697 1039688 1559532 1864056 2019394 3029091 3119064 4038788 6058182 8077576 12116364 13126061 24232728 26252122 39378183 52504244 78756366 105008488 157512732 315025464