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2498606256 = 243412335449
BaseRepresentation
bin1001010011101101…
…1011010010110000
320110010120100102110
42110323123102300
520104120400011
61051533445320
7115626542226
oct22473332260
96403510373
102498606256
111072441953
12598940840
1330a861c53
14199baab16
15e9552ba6
hex94edb4b0

2498606256 has 80 divisors (see below), whose sum is σ = 6641762400. Its totient is φ = 808919040.

The previous prime is 2498606207. The next prime is 2498606269. The reversal of 2498606256 is 6526068942.

It is a happy number.

2498606256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455820 + ... + 461268.

It is an arithmetic number, because the mean of its divisors is an integer number (83022030).

Almost surely, 22498606256 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 2498606256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320881200).

2498606256 is an abundant number, since it is smaller than the sum of its proper divisors (4143156144).

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

2498606256 is a wasteful number, since it uses less digits than its factorization.

2498606256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 2498606256 is about 49986.0606169360. The cubic root of 2498606256 is about 1356.9565478623.

The spelling of 2498606256 in words is "two billion, four hundred ninety-eight million, six hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 233 246 328 466 492 656 699 932 984 1398 1864 1968 2796 3728 5449 5592 9553 10898 11184 16347 19106 21796 28659 32694 38212 43592 57318 65388 76424 87184 114636 130776 152848 223409 229272 261552 446818 458544 670227 893636 1269617 1340454 1787272 2539234 2680908 3574544 3808851 5078468 5361816 7617702 10156936 10723632 15235404 20313872 30470808 52054297 60941616 104108594 156162891 208217188 312325782 416434376 624651564 832868752 1249303128 2498606256