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57104424 = 2332133192
BaseRepresentation
bin1101100111010…
…1100000101000
310222110012112200
43121311200220
5104104320144
65355540200
71262244126
oct331654050
9128405480
1057104424
112a263443
121715a660
13baa5000
147826916
15502ec69
hex3675828

57104424 has 144 divisors (see below), whose sum is σ = 176822100. Its totient is φ = 16645824.

The previous prime is 57104417. The next prime is 57104429. The reversal of 57104424 is 42440175.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 17791524 + 39312900 = 4218^2 + 6270^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (57104429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3005487 + ... + 3005505.

Almost surely, 257104424 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 57104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88411050).

57104424 is an abundant number, since it is smaller than the sum of its proper divisors (119717676).

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

57104424 is a wasteful number, since it uses less digits than its factorization.

57104424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 57104424 is about 7556.7469191445. The cubic root of 57104424 is about 385.0849848934.

Adding to 57104424 its reverse (42440175), we get a palindrome (99544599).

The spelling of 57104424 in words is "fifty-seven million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 169 171 228 234 247 312 338 342 361 456 468 494 507 676 684 722 741 936 988 1014 1083 1352 1368 1444 1482 1521 1976 2028 2166 2197 2223 2888 2964 3042 3211 3249 4056 4332 4394 4446 4693 5928 6084 6422 6498 6591 8664 8788 8892 9386 9633 12168 12844 12996 13182 14079 17576 17784 18772 19266 19773 25688 25992 26364 28158 28899 37544 38532 39546 41743 42237 52728 56316 57798 61009 77064 79092 83486 84474 112632 115596 122018 125229 158184 166972 168948 183027 231192 244036 250458 333944 337896 366054 375687 488072 500916 549081 732108 751374 793117 1001832 1098162 1464216 1502748 1586234 2196324 2379351 3005496 3172468 4392648 4758702 6344936 7138053 9517404 14276106 19034808 28552212 57104424