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5972928 = 263132393
BaseRepresentation
bin10110110010001111000000
3102020110022120
4112302033000
53012113203
6332004240
7101524533
oct26621700
912213276
105972928
11340a605
122000680
1313118a0
14b16a1a
157ceb53
hex5b23c0

5972928 has 56 divisors (see below), whose sum is σ = 17026128. Its totient is φ = 1837056.

The previous prime is 5972917. The next prime is 5972957. The reversal of 5972928 is 8292795.

It is a d-powerful number, because it can be written as 57 + 95 + 72 + 212 + 97 + 220 + 82 .

It is a self number, because there is not a number n which added to its sum of digits gives 5972928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300 + ... + 3692.

It is an arithmetic number, because the mean of its divisors is an integer number (304038).

Almost surely, 25972928 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 5972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513064).

5972928 is an abundant number, since it is smaller than the sum of its proper divisors (11053200).

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

5972928 is a wasteful number, since it uses less digits than its factorization.

5972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2411 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 5972928 is about 2443.9574464381. The cubic root of 5972928 is about 181.4383522770.

The spelling of 5972928 in words is "five million, nine hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2393 2496 4786 7179 9572 14358 19144 28716 31109 38288 57432 62218 76576 93327 114864 124436 153152 186654 229728 248872 373308 459456 497744 746616 995488 1493232 1990976 2986464 5972928