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81974256 = 2437313383
BaseRepresentation
bin1001110001011…
…01001111110000
312201020201112120
410320231033300
5131441134011
612044554240
72013525000
oct470551760
9181221476
1081974256
11422aa521
1223552980
1313ca1ba0
14ac5c000
1572e3a06
hex4e2d3f0

81974256 has 160 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 21563136.

The previous prime is 81974209. The next prime is 81974279. The reversal of 81974256 is 65247918.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 213841 + ... + 214223.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 281974256 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 81974256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

81974256 is an abundant number, since it is smaller than the sum of its proper divisors (184675344).

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

81974256 is a wasteful number, since it uses less digits than its factorization.

81974256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 81974256 is about 9053.9635519478. The cubic root of 81974256 is about 434.4026786427.

The spelling of 81974256 in words is "eighty-one million, nine hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 383 392 546 588 624 637 686 728 766 784 1029 1092 1149 1176 1274 1372 1456 1532 1911 2058 2184 2298 2352 2548 2681 2744 3064 3822 4116 4368 4459 4596 4979 5096 5362 5488 6128 7644 8043 8232 8918 9192 9958 10192 10724 13377 14937 15288 16086 16464 17836 18384 18767 19916 21448 26754 29874 30576 32172 34853 35672 37534 39832 42896 53508 56301 59748 64344 69706 71344 75068 79664 104559 107016 112602 119496 128688 131369 139412 150136 209118 214032 225204 238992 243971 262738 278824 300272 394107 418236 450408 487942 525476 557648 731913 788214 836472 900816 975884 1050952 1463826 1576428 1672944 1707797 1951768 2101904 2927652 3152856 3415594 3903536 5123391 5855304 6305712 6831188 10246782 11710608 13662376 20493564 27324752 40987128 81974256