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5757575296 = 271110140487
BaseRepresentation
bin1010101110010110…
…11010000010000000
3112212020220010111111
411113023122002000
543242414402141
62351152453104
7262451403544
oct52713320200
915766803444
105757575296
1124950015a0
12114824a194
13709aa93b5
143c8945a24
1523a6ed381
hex1572da080

5757575296 has 64 divisors (see below), whose sum is σ = 12637114560. Its totient is φ = 2591104000.

The previous prime is 5757575293. The next prime is 5757575321. The reversal of 5757575296 is 6925757575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5757575296.

It is not an unprimeable number, because it can be changed into a prime (5757575293) 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, 121965 + ... + 162451.

It is an arithmetic number, because the mean of its divisors is an integer number (197454915).

Almost surely, 25757575296 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 5757575296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318557280).

5757575296 is an abundant number, since it is smaller than the sum of its proper divisors (6879539264).

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

5757575296 is a wasteful number, since it uses less digits than its factorization.

5757575296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40613 (or 40601 counting only the distinct ones).

The product of its digits is 23152500, while the sum is 58.

The square root of 5757575296 is about 75878.6880223953. The cubic root of 5757575296 is about 1792.3103336904.

The spelling of 5757575296 in words is "five billion, seven hundred fifty-seven million, five hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 1111 1408 1616 2222 3232 4444 6464 8888 12928 17776 35552 40487 71104 80974 142208 161948 323896 445357 647792 890714 1295584 1781428 2591168 3562856 4089187 5182336 7125712 8178374 14251424 16356748 28502848 32713496 44981057 57005696 65426992 89962114 130853984 179924228 261707968 359848456 523415936 719696912 1439393824 2878787648 5757575296