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56943216 = 24331123521
BaseRepresentation
bin1101100100111…
…0001001110000
310222011000102000
43121032021300
5104034140331
65352254000
71261003131
oct331161160
9128130360
1056943216
112a163310
12170a1300
13ba49815
1477c3c88
154eec0e6
hex364e270

56943216 has 160 divisors (see below), whose sum is σ = 186416640. Its totient is φ = 16473600.

The previous prime is 56943199. The next prime is 56943221. The reversal of 56943216 is 61234965.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109036 + ... + 109556.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104).

Almost surely, 256943216 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 56943216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

56943216 is an abundant number, since it is smaller than the sum of its proper divisors (129473424).

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

56943216 is a wasteful number, since it uses less digits than its factorization.

56943216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 56943216 is about 7546.0728859454. The cubic root of 56943216 is about 384.7222734219.

The spelling of 56943216 in words is "fifty-six million, nine hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 521 528 552 594 621 759 792 828 1012 1042 1104 1188 1242 1518 1563 1584 1656 2024 2084 2277 2376 2484 3036 3126 3312 4048 4168 4554 4689 4752 4968 5731 6072 6252 6831 8336 9108 9378 9936 11462 11983 12144 12504 13662 14067 17193 18216 18756 22924 23966 25008 27324 28134 34386 35949 36432 37512 45848 47932 51579 54648 56268 68772 71898 75024 91696 95864 103158 107847 109296 112536 131813 137544 143796 154737 191728 206316 215694 225072 263626 275088 287592 309474 323541 395439 412632 431388 527252 575184 618948 647082 790878 825264 862776 1054504 1186317 1237896 1294164 1581756 1725552 2109008 2372634 2475792 2588328 3163512 3558951 4745268 5176656 6327024 7117902 9490536 14235804 18981072 28471608 56943216