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56894292 = 22337213827
BaseRepresentation
bin1101100100001…
…0001101010100
310222001112022000
43121002031110
5104031104132
65351235300
71260410400
oct331021524
9128045260
1056894292
112a12a584
1217078b30
13ba30480
1477b0100
154edc87c
hex3642354

56894292 has 144 divisors (see below), whose sum is σ = 185008320. Its totient is φ = 14986944.

The previous prime is 56894287. The next prime is 56894297. The reversal of 56894292 is 29249865.

It is an interprime number because it is at equal distance from previous prime (56894287) and next prime (56894297).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56894297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68383 + ... + 69209.

It is an arithmetic number, because the mean of its divisors is an integer number (1284780).

Almost surely, 256894292 is an apocalyptic number.

56894292 is a gapful number since it is divisible by the number (52) 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 56894292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92504160).

56894292 is an abundant number, since it is smaller than the sum of its proper divisors (128114028).

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

56894292 is a wasteful number, since it uses less digits than its factorization.

56894292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56894292 is about 7542.8305031997. The cubic root of 56894292 is about 384.6120610215.

The spelling of 56894292 in words is "fifty-six million, eight hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 827 882 1092 1274 1323 1404 1638 1654 1764 1911 2457 2481 2548 2646 3276 3308 3822 4914 4962 5292 5733 5789 7443 7644 9828 9924 10751 11466 11578 14886 17199 17367 21502 22329 22932 23156 29772 32253 34398 34734 40523 43004 44658 52101 64506 68796 69468 75257 81046 89316 96759 104202 121569 129012 150514 156303 162092 193518 208404 225771 243138 290277 301028 312606 364707 387036 451542 486276 526799 580554 625212 677313 729414 903084 1053598 1094121 1161108 1354626 1458828 1580397 2031939 2107196 2188242 2709252 3160794 4063878 4376484 4741191 6321588 8127756 9482382 14223573 18964764 28447146 56894292