Search a number
-
+
57235400 = 2352419683
BaseRepresentation
bin1101101001010…
…1011111001000
310222200212012122
43122111133020
5104123013100
65402430412
71263331025
oct332253710
9128625178
1057235400
112a342892
1217202408
13bb1c801
14785c54c
155058985
hex36957c8

57235400 has 48 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 22806080.

The previous prime is 57235363. The next prime is 57235427. The reversal of 57235400 is 453275.

It is a self number, because there is not a number n which added to its sum of digits gives 57235400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83459 + ... + 84141.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 257235400 is an apocalyptic number.

57235400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

57235400 is an abundant number, since it is smaller than the sum of its proper divisors (76349800).

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

57235400 is a wasteful number, since it uses less digits than its factorization.

57235400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 57235400 is about 7565.4081185353. The cubic root of 57235400 is about 385.3791733027.

Adding to 57235400 its reverse (453275), we get a palindrome (57688675).

The spelling of 57235400 in words is "fifty-seven million, two hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 683 838 1366 1676 2095 2732 3352 3415 4190 5464 6830 8380 10475 13660 16760 17075 20950 27320 34150 41900 68300 83800 136600 286177 572354 1144708 1430885 2289416 2861770 5723540 7154425 11447080 14308850 28617700 57235400