Search a number
-
+
57477090 = 235111989103
BaseRepresentation
bin1101101101000…
…0011111100010
311000011010202010
43123100133202
5104203231330
65411533350
71265355456
oct333203742
9130133663
1057477090
112a498430
12172ba256
13bba5818
1478c2666
1550a53b0
hex36d07e2

57477090 has 128 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 12925440.

The previous prime is 57477053. The next prime is 57477097. The reversal of 57477090 is 9077475.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57477097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557979 + ... + 558081.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 257477090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57477090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

57477090 is an abundant number, since it is smaller than the sum of its proper divisors (104263710).

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

57477090 is a wasteful number, since it uses less digits than its factorization.

57477090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 57477090 is about 7581.3646528841. The cubic root of 57477090 is about 385.9208630843.

The spelling of 57477090 in words is "fifty-seven million, four hundred seventy-seven thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 89 95 103 110 114 165 178 190 206 209 267 285 309 330 418 445 515 534 570 618 627 890 979 1030 1045 1133 1254 1335 1545 1691 1957 1958 2090 2266 2670 2937 3090 3135 3382 3399 3914 4895 5073 5665 5871 5874 6270 6798 8455 9167 9785 9790 10146 11330 11742 14685 16910 16995 18334 18601 19570 21527 25365 27501 29355 29370 33990 37202 43054 45835 50730 55002 55803 58710 64581 91670 93005 100837 107635 111606 129162 137505 174173 186010 201674 215270 275010 279015 302511 322905 348346 504185 522519 558030 605022 645810 870865 1008370 1045038 1512555 1741730 1915903 2612595 3025110 3831806 5225190 5747709 9579515 11495418 19159030 28738545 57477090