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57245436 = 223223471471
BaseRepresentation
bin1101101001011…
…1111011111100
310222201100222100
43122113323330
5104123323221
65402545100
71263402213
oct332277374
9128640870
1057245436
112a34a386
1217208190
13bb24251
14786207a
15505b926
hex3697efc

57245436 has 72 divisors (see below), whose sum is σ = 154312704. Its totient is φ = 17851680.

The previous prime is 57245431. The next prime is 57245479. The reversal of 57245436 is 63454275.

57245436 is a `hidden beast` number, since 572 + 4 + 54 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57245436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57245431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38181 + ... + 39651.

It is an arithmetic number, because the mean of its divisors is an integer number (2143232).

Almost surely, 257245436 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 57245436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77156352).

57245436 is an abundant number, since it is smaller than the sum of its proper divisors (97067268).

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

57245436 is a wasteful number, since it uses less digits than its factorization.

57245436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1546 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57245436 is about 7566.0713715904. The cubic root of 57245436 is about 385.4016968886.

The spelling of 57245436 in words is "fifty-seven million, two hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 828 846 1081 1471 1692 2162 2942 3243 4324 4413 5884 6486 8826 9729 12972 13239 17652 19458 26478 33833 38916 52956 67666 69137 101499 135332 138274 202998 207411 276548 304497 405996 414822 608994 622233 829644 1217988 1244466 1590151 2488932 3180302 4770453 6360604 9540906 14311359 19081812 28622718 57245436