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5772358080 = 26355193907
BaseRepresentation
bin1010110000000111…
…10011000111000000
3112220021201011200000
411120003303013000
543310210424310
62352441400000
7263021143206
oct53003630700
915807634600
105772358080
1124a2389075
121151199000
1370cb83bc8
143ca8b3076
1523bb6d4c0
hex1580f31c0

5772358080 has 336 divisors, whose sum is σ = 21679082880. Its totient is φ = 1457906688.

The previous prime is 5772358057. The next prime is 5772358091. The reversal of 5772358080 is 808532775.

5772358080 is a `hidden beast` number, since 577 + 23 + 58 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1475487 + ... + 1479393.

It is an arithmetic number, because the mean of its divisors is an integer number (64521080).

Almost surely, 25772358080 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 5772358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839541440).

5772358080 is an abundant number, since it is smaller than the sum of its proper divisors (15906724800).

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

5772358080 is a wasteful number, since it uses less digits than its factorization.

5772358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5772358080 is about 75976.0362219562. The cubic root of 5772358080 is about 1793.8429634022.

The spelling of 5772358080 in words is "five billion, seven hundred seventy-two million, three hundred fifty-eight thousand, eighty".