Search a number
-
+
81678336 = 212317223
BaseRepresentation
bin1001101111001…
…01000000000000
312200200200121120
410313211000000
5131402201321
612034352240
72011153155
oct467450000
9180620546
1081678336
1142118163
122342b680
1313bca29c
14abc222c
157285ec6
hex4de5000

81678336 has 156 divisors (see below), whose sum is σ = 241405152. Its totient is φ = 24510464.

The previous prime is 81678323. The next prime is 81678347. The reversal of 81678336 is 63387618.

Its product of digits (145152) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3551221 + ... + 3551243.

Almost surely, 281678336 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 81678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120702576).

81678336 is an abundant number, since it is smaller than the sum of its proper divisors (159726816).

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

81678336 is a wasteful number, since it uses less digits than its factorization.

81678336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 81678336 is about 9037.6067628549. The cubic root of 81678336 is about 433.8793296433.

The spelling of 81678336 in words is "eighty-one million, six hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 256 272 276 289 368 384 391 408 512 544 552 578 736 768 782 816 867 1024 1088 1104 1156 1173 1472 1536 1564 1632 1734 2048 2176 2208 2312 2346 2944 3072 3128 3264 3468 4096 4352 4416 4624 4692 5888 6144 6256 6528 6647 6936 8704 8832 9248 9384 11776 12288 12512 13056 13294 13872 17408 17664 18496 18768 19941 23552 25024 26112 26588 27744 34816 35328 36992 37536 39882 47104 50048 52224 53176 55488 69632 70656 73984 75072 79764 94208 100096 104448 106352 110976 141312 147968 150144 159528 200192 208896 212704 221952 282624 295936 300288 319056 400384 425408 443904 591872 600576 638112 800768 850816 887808 1183744 1201152 1276224 1601536 1701632 1775616 2402304 2552448 3403264 3551232 4804608 5104896 6806528 10209792 13613056 20419584 27226112 40839168 81678336