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9255438248 = 2371782311813
BaseRepresentation
bin10001001111010101…
…01100011110101000
3212220000201222102012
420213222230132220
5122423343010443
64130224055052
7445233632660
oct104752543650
925800658365
109255438248
113a1a4a9821
121963764488
13b466780a4
1463b3091a0
15392837118
hex227aac7a8

9255438248 has 64 divisors (see below), whose sum is σ = 21027029760. Its totient is φ = 3728434176.

The previous prime is 9255438221. The next prime is 9255438253. The reversal of 9255438248 is 8428345529.

9255438248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9255438196 and 9255438205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777590 + ... + 789402.

It is an arithmetic number, because the mean of its divisors is an integer number (328547340).

Almost surely, 29255438248 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 9255438248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513514880).

9255438248 is an abundant number, since it is smaller than the sum of its proper divisors (11771591512).

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

9255438248 is a wasteful number, since it uses less digits than its factorization.

9255438248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12662 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 50.

The square root of 9255438248 is about 96205.1882592618. The cubic root of 9255438248 is about 2099.5795263981.

The spelling of 9255438248 in words is "nine billion, two hundred fifty-five million, four hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 823 952 1646 3292 5761 6584 11522 11813 13991 23044 23626 27982 46088 47252 55964 82691 94504 97937 111928 165382 195874 200821 330764 391748 401642 661528 783496 803284 1405747 1606568 2811494 5622988 9722099 11245976 19444198 38888396 68054693 77776792 136109386 165275683 272218772 330551366 544437544 661102732 1156929781 1322205464 2313859562 4627719124 9255438248