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5757463140 = 223511213531151
BaseRepresentation
bin1010101110010101…
…11110101001100100
3112212020200102122120
411113022332221210
543242402310030
62351150225540
7262450425552
oct52712765144
915766612576
105757463140
112494a35300
1211481b52b0
13709a6a330
143c8916bd2
1523a6ca010
hex1572bea64

5757463140 has 288 divisors, whose sum is σ = 19459657728. Its totient is φ = 1262976000.

The previous prime is 5757463123. The next prime is 5757463147. The reversal of 5757463140 is 413647575.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5757463092 and 5757463101.

It is not an unprimeable number, because it can be changed into a prime (5757463147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5001565 + ... + 5002715.

It is an arithmetic number, because the mean of its divisors is an integer number (67568256).

Almost surely, 25757463140 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 5757463140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729828864).

5757463140 is an abundant number, since it is smaller than the sum of its proper divisors (13702194588).

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

5757463140 is a wasteful number, since it uses less digits than its factorization.

5757463140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5757463140 is about 75877.9489706990. The cubic root of 5757463140 is about 1792.2986957090.

The spelling of 5757463140 in words is "five billion, seven hundred fifty-seven million, four hundred sixty-three thousand, one hundred forty".