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57242112 = 29383449
BaseRepresentation
bin1101101001011…
…1001000000000
310222201012102020
43122113020000
5104123221422
65402521440
71263356424
oct332271000
9128635366
1057242112
112a347934
1217206280
13bb22895
147860b84
15505a95c
hex3697200

57242112 has 80 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 18808832.

The previous prime is 57242083. The next prime is 57242203. The reversal of 57242112 is 21124275.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127264 + ... + 127712.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 257242112 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 57242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

57242112 is an abundant number, since it is smaller than the sum of its proper divisors (97435488).

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

57242112 is an equidigital number, since it uses as much as digits as its factorization.

57242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 57242112 is about 7565.8517035427. The cubic root of 57242112 is about 385.3942371962.

Adding to 57242112 its reverse (21124275), we get a palindrome (78366387).

The spelling of 57242112 in words is "fifty-seven million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 449 498 512 664 768 898 996 1328 1347 1536 1796 1992 2656 2694 3592 3984 5312 5388 7184 7968 10624 10776 14368 15936 21248 21552 28736 31872 37267 42496 43104 57472 63744 74534 86208 111801 114944 127488 149068 172416 223602 229888 298136 344832 447204 596272 689664 894408 1192544 1788816 2385088 3577632 4770176 7155264 9540352 14310528 19080704 28621056 57242112