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2497344256 = 28111276983
BaseRepresentation
bin1001010011011010…
…0111001100000000
320110001012020021201
42110312213030000
520103310004011
61051450430544
7115613035021
oct22466471400
96401166251
102497344256
11107175a780
12598432454
1330a50c6c4
1419995cc48
15e93a3cc1
hex94da7300

2497344256 has 72 divisors (see below), whose sum is σ = 5481713664. Its totient is φ = 1126056960.

The previous prime is 2497344253. The next prime is 2497344257. The reversal of 2497344256 is 6524437942.

It is a super-5 number, since 5×24973442565 (a number of 48 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (2497344253) 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, 354141 + ... + 361123.

It is an arithmetic number, because the mean of its divisors is an integer number (76134912).

Almost surely, 22497344256 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 2497344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740856832).

2497344256 is an abundant number, since it is smaller than the sum of its proper divisors (2984369408).

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

2497344256 is a wasteful number, since it uses less digits than its factorization.

2497344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7123 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The square root of 2497344256 is about 49973.4355032751. The cubic root of 2497344256 is about 1356.7280514684.

The spelling of 2497344256 in words is "two billion, four hundred ninety-seven million, three hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 256 352 508 704 1016 1397 1408 2032 2794 2816 4064 5588 6983 8128 11176 13966 16256 22352 27932 32512 44704 55864 76813 89408 111728 153626 178816 223456 307252 357632 446912 614504 886841 893824 1229008 1773682 1787648 2458016 3547364 4916032 7094728 9755251 9832064 14189456 19510502 19664128 28378912 39021004 56757824 78042008 113515648 156084016 227031296 312168032 624336064 1248672128 2497344256