Search a number
-
+
57265488 = 2433729653
BaseRepresentation
bin1101101001110…
…0110101010000
310222202101111000
43122130311100
5104124443423
65403222000
71263514530
oct332346520
9128671430
1057265488
112a363455
1217217900
13bb30407
1478694c0
155062843
hex369cd50

57265488 has 160 divisors (see below), whose sum is σ = 194630400. Its totient is φ = 15773184.

The previous prime is 57265477. The next prime is 57265489. The reversal of 57265488 is 88456275.

57265488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×572654882 = 6558672231756288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57265489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87370 + ... + 88022.

It is an arithmetic number, because the mean of its divisors is an integer number (1216440).

Almost surely, 257265488 is an apocalyptic number.

57265488 is a gapful number since it is divisible by the number (58) 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 57265488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97315200).

57265488 is an abundant number, since it is smaller than the sum of its proper divisors (137364912).

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

57265488 is a wasteful number, since it uses less digits than its factorization.

57265488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 57265488 is about 7567.3963818476. The cubic root of 57265488 is about 385.4466912917.

The spelling of 57265488 in words is "fifty-seven million, two hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 653 696 756 783 812 1008 1044 1218 1306 1392 1512 1566 1624 1827 1959 2088 2436 2612 3024 3132 3248 3654 3918 4176 4571 4872 5224 5481 5877 6264 7308 7836 9142 9744 10448 10962 11754 12528 13713 14616 15672 17631 18284 18937 21924 23508 27426 29232 31344 35262 36568 37874 41139 43848 47016 54852 56811 70524 73136 75748 82278 87696 94032 109704 113622 123417 132559 141048 151496 164556 170433 219408 227244 246834 265118 282096 302992 329112 340866 397677 454488 493668 511299 530236 658224 681732 795354 908976 987336 1022598 1060472 1193031 1363464 1590708 1974672 2045196 2120944 2386062 2726928 3181416 3579093 4090392 4772124 6362832 7158186 8180784 9544248 14316372 19088496 28632744 57265488