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56282940 = 223257192351
BaseRepresentation
bin1101011010110…
…0111100111100
310220220110200100
43112230330330
5103402023230
65330201100
71252253130
oct326547474
9126813610
1056282940
112985222a
1216a23190
13b87811c
1476913c0
154e1b660
hex35acf3c

56282940 has 144 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 12182400.

The previous prime is 56282929. The next prime is 56282969. The reversal of 56282940 is 4928265.

It is a happy number.

56282940 is a `hidden beast` number, since 5 + 628 + 29 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56282895 and 56282904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22765 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (1426880).

Almost surely, 256282940 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 56282940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

56282940 is an abundant number, since it is smaller than the sum of its proper divisors (149187780).

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

56282940 is a wasteful number, since it uses less digits than its factorization.

56282940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56282940 is about 7502.1956785997. The cubic root of 56282940 is about 383.2294934028.

The spelling of 56282940 in words is "fifty-six million, two hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2351 2394 2660 3420 3990 4702 4788 5985 7053 7980 9404 11755 11970 14106 16457 21159 23510 23940 28212 32914 35265 42318 44669 47020 49371 65828 70530 82285 84636 89338 98742 105795 134007 141060 148113 164570 178676 197484 211590 223345 246855 268014 296226 312683 329140 402021 423180 446690 493710 536028 592452 625366 670035 740565 804042 893380 938049 987420 1250732 1340070 1481130 1563415 1608084 1876098 2010105 2680140 2814147 2962260 3126830 3752196 4020210 4690245 5628294 6253660 8040420 9380490 11256588 14070735 18760980 28141470 56282940