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57435950 = 252111329277
BaseRepresentation
bin1101101100011…
…0011100101110
311000002001022102
43123012130232
5104200422300
65411015102
71265124515
oct333063456
9130061272
1057435950
112a46a530
121729a492
13bb8cb90
1478b167c
1550980d5
hex36c672e

57435950 has 96 divisors (see below), whose sum is σ = 130304160. Its totient is φ = 18547200.

The previous prime is 57435949. The next prime is 57435971. The reversal of 57435950 is 5953475.

It is a happy 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, 207212 + ... + 207488.

It is an arithmetic number, because the mean of its divisors is an integer number (1357335).

Almost surely, 257435950 is an apocalyptic number.

57435950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57435950 is an abundant number, since it is smaller than the sum of its proper divisors (72868210).

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

57435950 is a wasteful number, since it uses less digits than its factorization.

57435950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 38.

The square root of 57435950 is about 7578.6509353578. The cubic root of 57435950 is about 385.8287650918.

It can be divided in two parts, 57435 and 950, that added together give a palindrome (58385).

The spelling of 57435950 in words is "fifty-seven million, four hundred thirty-five thousand, nine hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 29 50 55 58 65 110 130 143 145 275 277 286 290 319 325 377 550 554 638 650 715 725 754 1385 1430 1450 1595 1885 2770 3047 3190 3575 3601 3770 4147 6094 6925 7150 7202 7975 8033 8294 9425 13850 15235 15950 16066 18005 18850 20735 30470 36010 39611 40165 41470 76175 79222 80330 88363 90025 103675 104429 152350 176726 180050 198055 200825 207350 208858 396110 401650 441815 522145 883630 990275 1044290 1148719 1980550 2209075 2297438 2610725 4418150 5221450 5743595 11487190 28717975 57435950