Search a number
-
+
57331890 = 23257118273
BaseRepresentation
bin1101101010110…
…1000010110010
310222212202120100
43122231002302
5104134110030
65404453230
71264212240
oct332550262
9128782510
1057331890
112a3a9330
121724a216
13bb546c5
147885790
155077360
hex36ad0b2

57331890 has 96 divisors (see below), whose sum is σ = 185867136. Its totient is φ = 11911680.

The previous prime is 57331889. The next prime is 57331903. The reversal of 57331890 is 9813375.

57331890 is a `hidden beast` number, since 573 + 3 + 1 + 89 + 0 = 666.

57331890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×573318902 = 6573891221944200, which contains 22 as substring.

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, 2794 + ... + 11066.

It is an arithmetic number, because the mean of its divisors is an integer number (1936116).

Almost surely, 257331890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57331890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92933568).

57331890 is an abundant number, since it is smaller than the sum of its proper divisors (128535246).

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

57331890 is a wasteful number, since it uses less digits than its factorization.

57331890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57331890 is about 7571.7824849899. The cubic root of 57331890 is about 385.5956148744.

The spelling of 57331890 in words is "fifty-seven million, three hundred thirty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 8273 16546 24819 41365 49638 57911 74457 82730 91003 115822 124095 148914 173733 182006 248190 273009 289555 347466 372285 455015 521199 546018 579110 637021 744570 819027 868665 910030 1042398 1274042 1365045 1638054 1737330 1911063 2605995 2730090 3185105 3822126 4095135 5211990 5733189 6370210 8190270 9555315 11466378 19110630 28665945 57331890