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2439296256 = 28329313533
BaseRepresentation
bin1001000101100100…
…1011010100000000
320021222222002101210
42101121023110000
514443424440011
61042014330120
7114306450615
oct22131132400
96258862353
102439296256
111041a12421
12580ab9940
132cb497087
14191d6c50c
15e42396a6
hex9164b500

2439296256 has 144 divisors (see below), whose sum is σ = 6934556160. Its totient is φ = 759521280.

The previous prime is 2439296191. The next prime is 2439296263. The reversal of 2439296256 is 6526929342.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 688666 + ... + 692198.

It is an arithmetic number, because the mean of its divisors is an integer number (48156640).

Almost surely, 22439296256 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 2439296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467278080).

2439296256 is an abundant number, since it is smaller than the sum of its proper divisors (4495259904).

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

2439296256 is a wasteful number, since it uses less digits than its factorization.

2439296256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3598 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 2439296256 is about 49389.2321867834. The cubic root of 2439296256 is about 1346.1336574205.

The spelling of 2439296256 in words is "two billion, four hundred thirty-nine million, two hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 348 372 384 464 496 696 744 768 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3533 3596 3712 3968 5394 5568 5952 7066 7192 7424 7936 10599 10788 11136 11904 14132 14384 21198 21576 22272 23808 28264 28768 42396 43152 56528 57536 84792 86304 102457 109523 113056 115072 169584 172608 204914 219046 226112 230144 307371 328569 339168 345216 409828 438092 452224 614742 657138 678336 690432 819656 876184 904448 1229484 1314276 1356672 1639312 1752368 2458968 2628552 2713344 3176167 3278624 3504736 4917936 5257104 6352334 6557248 7009472 9528501 9835872 10514208 12704668 13114496 14018944 19057002 19671744 21028416 25409336 26228992 28037888 38114004 39343488 42056832 50818672 76228008 78686976 84113664 101637344 152456016 203274688 304912032 406549376 609824064 813098752 1219648128 2439296256