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2523041440 = 25522769467
BaseRepresentation
bin1001011001100010…
…1000111010100000
320111211112210012021
42112120220322200
520131344311230
61054205311224
7116344332643
oct22630507240
96454483167
102523041440
111085211417
125a4b65514
1331293903a
1419d12ba5a
15eb77cc7a
hex96628ea0

2523041440 has 48 divisors (see below), whose sum is σ = 5987030112. Its totient is φ = 1004756224.

The previous prime is 2523041393. The next prime is 2523041447. The reversal of 2523041440 is 441403252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2523041447) 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, 1587 + ... + 71053.

It is an arithmetic number, because the mean of its divisors is an integer number (124729794).

Almost surely, 22523041440 is an apocalyptic number.

2523041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993515056).

2523041440 is an abundant number, since it is smaller than the sum of its proper divisors (3463988672).

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

2523041440 is a wasteful number, since it uses less digits than its factorization.

2523041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69709 (or 69701 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2523041440 is about 50229.8859246166. The cubic root of 2523041440 is about 1361.3656697004.

Adding to 2523041440 its reverse (441403252), we get a palindrome (2964444692).

The spelling of 2523041440 in words is "two billion, five hundred twenty-three million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 3632 4540 7264 9080 18160 36320 69467 138934 277868 347335 555736 694670 1111472 1389340 2222944 2778680 5557360 11114720 15769009 31538018 63076036 78845045 126152072 157690090 252304144 315380180 504608288 630760360 1261520720 2523041440