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57972990 = 23519253101
BaseRepresentation
bin1101110100100…
…1100011111110
311001002022222210
43131021203332
5104320113430
65430321250
71302522315
oct335114376
9131068883
1057972990
112a7a6a69
12174b9226
13c01a45a
1479b127c
1551522b0
hex37498fe

57972990 has 96 divisors (see below), whose sum is σ = 151095456. Its totient is φ = 14227200.

The previous prime is 57972989. The next prime is 57973031. The reversal of 57972990 is 9927975.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573940 + ... + 574040.

It is an arithmetic number, because the mean of its divisors is an integer number (1573911).

Almost surely, 257972990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57972990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75547728).

57972990 is an abundant number, since it is smaller than the sum of its proper divisors (93122466).

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

57972990 is a wasteful number, since it uses less digits than its factorization.

57972990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 48.

The square root of 57972990 is about 7613.9996059890. Note that the first 3 decimals coincide. The cubic root of 57972990 is about 387.0275671594.

The spelling of 57972990 in words is "fifty-seven million, nine hundred seventy-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 101 106 114 159 190 202 265 285 303 318 361 505 530 570 606 722 795 1007 1010 1083 1515 1590 1805 1919 2014 2166 3021 3030 3610 3838 5035 5353 5415 5757 6042 9595 10070 10706 10830 11514 15105 16059 19133 19190 26765 28785 30210 32118 36461 38266 53530 57399 57570 72922 80295 95665 101707 109383 114798 160590 182305 191330 203414 218766 286995 305121 364610 508535 546915 573990 610242 1017070 1093830 1525605 1932433 3051210 3864866 5797299 9662165 11594598 19324330 28986495 57972990