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3106248448 = 28432691049
BaseRepresentation
bin1011100100100101…
…1001011100000000
322000110221202210211
42321021121130000
522330144422243
61232121403504
7136655450632
oct27111313400
98013852724
103106248448
11135443a486
12728339594
133a6705144
14216782a52
15132a7ed9d
hexb9259700

3106248448 has 72 divisors (see below), whose sum is σ = 6374214000. Its totient is φ = 1509924864.

The previous prime is 3106248443. The next prime is 3106248451. The reversal of 3106248448 is 8448426013.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3106248448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3106248443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2960628 + ... + 2961676.

It is an arithmetic number, because the mean of its divisors is an integer number (88530750).

Almost surely, 23106248448 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 3106248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187107000).

3106248448 is an abundant number, since it is smaller than the sum of its proper divisors (3267965552).

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

3106248448 is a wasteful number, since it uses less digits than its factorization.

3106248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 3106248448 is about 55733.7281006753. The cubic root of 3106248448 is about 1459.0787407572.

The spelling of 3106248448 in words is "three billion, one hundred six million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 269 344 538 688 1049 1076 1376 2098 2152 2752 4196 4304 5504 8392 8608 11008 11567 16784 17216 23134 33568 34432 45107 46268 67136 68864 90214 92536 134272 180428 185072 268544 282181 360856 370144 564362 721712 740288 1128724 1443424 1480576 2257448 2886848 2961152 4514896 5773696 9029792 11547392 12133783 18059584 24267566 36119168 48535132 72238336 97070264 194140528 388281056 776562112 1553124224 3106248448