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57998980 = 22513376029
BaseRepresentation
bin1101110100111…
…1111010000100
311001010122122101
43131033322010
5104321431410
65431041444
71302661144
oct335177204
9131118571
1057998980
112a814546
1217510284
13c029230
1479ba924
155159d3a
hex374fe84

57998980 has 48 divisors (see below), whose sum is σ = 134734320. Its totient is φ = 20832768.

The previous prime is 57998971. The next prime is 57998981. The reversal of 57998980 is 8989975.

It can be written as a sum of positive squares in 8 ways, for example, as 2883204 + 55115776 = 1698^2 + 7424^2 .

It is not an unprimeable number, because it can be changed into a prime (57998981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6606 + ... + 12634.

It is an arithmetic number, because the mean of its divisors is an integer number (2806965).

Almost surely, 257998980 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 57998980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67367160).

57998980 is an abundant number, since it is smaller than the sum of its proper divisors (76735340).

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

57998980 is a wasteful number, since it uses less digits than its factorization.

57998980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 55.

The square root of 57998980 is about 7615.7061392887. The cubic root of 57998980 is about 387.0853949149.

The spelling of 57998980 in words is "fifty-seven million, nine hundred ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 6029 9620 12058 24116 30145 60290 78377 120580 156754 223073 313508 391885 446146 783770 892292 1115365 1567540 2230730 2899949 4461460 5799898 11599796 14499745 28999490 57998980