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2457320256 = 26324266181
BaseRepresentation
bin1001001001110111…
…1011101101000000
320100020212210200100
42102131323231000
520013033222011
61043500522400
7114615606666
oct22235735500
96306783610
102457320256
111051103096
12586b50400
13302137c71
14194500c36
15e5ae9d56
hex9277bb40

2457320256 has 42 divisors (see below), whose sum is σ = 7043466482. Its totient is φ = 819106560.

The previous prime is 2457320251. The next prime is 2457320263. The reversal of 2457320256 is 6520237542.

2457320256 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 can be written as a sum of positive squares in only one way, i.e., 1237913856 + 1219406400 = 35184^2 + 34920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2457320256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457320251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2132515 + ... + 2133666.

Almost surely, 22457320256 is an apocalyptic number.

It is an amenable number.

2457320256 is an abundant number, since it is smaller than the sum of its proper divisors (4586146226).

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

2457320256 is a wasteful number, since it uses less digits than its factorization.

2457320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266199 (or 4266186 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2457320256 is about 49571.3652827920. The cubic root of 2457320256 is about 1349.4410591485.

Adding to 2457320256 its reverse (6520237542), we get a palindrome (8977557798).

The spelling of 2457320256 in words is "two billion, four hundred fifty-seven million, three hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4266181 8532362 12798543 17064724 25597086 34129448 38395629 51194172 68258896 76791258 102388344 136517792 153582516 204776688 273035584 307165032 409553376 614330064 819106752 1228660128 2457320256