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57525468 = 223711134789
BaseRepresentation
bin1101101101110…
…0010011011100
311000020121002220
43123130103130
5104211303333
65412545340
71265646510
oct333342334
9130217086
1057525468
112a520810
1217322250
13bbc1850
1478d6140
1550b48b3
hex36dc4dc

57525468 has 96 divisors (see below), whose sum is σ = 180257280. Its totient is φ = 13789440.

The previous prime is 57525439. The next prime is 57525493. The reversal of 57525468 is 86452575.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9618 + ... + 14406.

It is an arithmetic number, because the mean of its divisors is an integer number (1877680).

Almost surely, 257525468 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 57525468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90128640).

57525468 is an abundant number, since it is smaller than the sum of its proper divisors (122731812).

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

57525468 is a wasteful number, since it uses less digits than its factorization.

57525468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4825 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 57525468 is about 7584.5545683316. The cubic root of 57525468 is about 386.0291082061.

It can be divided in two parts, 57 and 525468, that added together give a palindrome (525525).

The spelling of 57525468 in words is "fifty-seven million, five hundred twenty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 4789 6006 9578 12012 14367 19156 28734 33523 52679 57468 62257 67046 100569 105358 124514 134092 158037 186771 201138 210716 249028 316074 368753 373542 402276 435799 632148 684827 737506 747084 871598 1106259 1307397 1369654 1475012 1743196 2054481 2212518 2614794 2739308 4108962 4425036 4793789 5229588 8217924 9587578 14381367 19175156 28762734 57525468