Search a number
-
+
5757499440 = 2434571121049
BaseRepresentation
bin1010101110010110…
…00111100000110000
3112212020202021110000
411113023013200300
543242404440230
62351151110000
7262450636440
oct52713074060
915766667400
105757499440
112494a5a600
121148212300
13709a80a04
143c8926120
1523a6d5b60
hex1572c7830

5757499440 has 600 divisors, whose sum is σ = 25143703200. Its totient is φ = 1195223040.

The previous prime is 5757499439. The next prime is 5757499481. The reversal of 5757499440 is 449947575.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5488036 + ... + 5489084.

It is an arithmetic number, because the mean of its divisors is an integer number (41906172).

Almost surely, 25757499440 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 5757499440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571851600).

5757499440 is an abundant number, since it is smaller than the sum of its proper divisors (19386203760).

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

5757499440 is a wasteful number, since it uses less digits than its factorization.

5757499440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 5757499440 is about 75878.1881702509. The cubic root of 5757499440 is about 1792.3024624319.

The spelling of 5757499440 in words is "five billion, seven hundred fifty-seven million, four hundred ninety-nine thousand, four hundred forty".