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57829980 = 223513151491
BaseRepresentation
bin1101110010011…
…0101001011100
311000211001211010
43130212221130
5104301024410
65423255220
71301355345
oct334465134
9130731733
1057829980
112a70957a
121744a510
13bc9a330
1479750cc
155124c20
hex3726a5c

57829980 has 96 divisors (see below), whose sum is σ = 175891968. Its totient is φ = 14112000.

The previous prime is 57829957. The next prime is 57829987. The reversal of 57829980 is 8992875.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57829987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117535 + ... + 118025.

It is an arithmetic number, because the mean of its divisors is an integer number (1832208).

Almost surely, 257829980 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 57829980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87945984).

57829980 is an abundant number, since it is smaller than the sum of its proper divisors (118061988).

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

57829980 is a wasteful number, since it uses less digits than its factorization.

57829980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 57829980 is about 7604.6025537171. The cubic root of 57829980 is about 386.7090602878.

The spelling of 57829980 in words is "fifty-seven million, eight hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 151 156 195 260 302 390 453 491 604 755 780 906 982 1473 1510 1812 1963 1964 2265 2455 2946 3020 3926 4530 4910 5889 5892 6383 7365 7852 9060 9815 9820 11778 12766 14730 19149 19630 23556 25532 29445 29460 31915 38298 39260 58890 63830 74141 76596 95745 117780 127660 148282 191490 222423 296564 370705 382980 444846 741410 889692 963833 1112115 1482820 1927666 2224230 2891499 3855332 4448460 4819165 5782998 9638330 11565996 14457495 19276660 28914990 57829980