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57442224 = 2437237433
BaseRepresentation
bin1101101100011…
…1111110110000
311000002100220210
43123013332300
5104201122344
65411104120
71265152020
oct333077660
9130070823
1057442224
112a474214
12172a2040
13bb929a8
1478b3a80
155099db9
hex36c7fb0

57442224 has 80 divisors (see below), whose sum is σ = 176988672. Its totient is φ = 15696384.

The previous prime is 57442219. The next prime is 57442261. The reversal of 57442224 is 42224475.

It is a junction number, because it is equal to n+sod(n) for n = 57442191 and 57442200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4012 + ... + 11444.

Almost surely, 257442224 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 57442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88494336).

57442224 is an abundant number, since it is smaller than the sum of its proper divisors (119546448).

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

57442224 is a wasteful number, since it uses less digits than its factorization.

57442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7468 counting only the distinct ones).

The product of its digits is 17920, while the sum is 30.

The square root of 57442224 is about 7579.0648499667. The cubic root of 57442224 is about 385.8428132128.

Adding to 57442224 its reverse (42224475), we get a palindrome (99666699).

The spelling of 57442224 in words is "fifty-seven million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7433 7728 14866 22299 29732 44598 52031 59464 89196 104062 118928 156093 170959 178392 208124 312186 341918 356784 416248 512877 624372 683836 832496 1025754 1196713 1248744 1367672 2051508 2393426 2497488 2735344 3590139 4103016 4786852 7180278 8206032 9573704 14360556 19147408 28721112 57442224