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81794304 = 2832131271
BaseRepresentation
bin1001110000000…
…01010100000000
312200220120200200
410320001110000
5131414404204
612041045200
72012145234
oct470012400
9180816620
1081794304
11421972a9
1223486800
1313c3acc7
14ac125c4
1572aa539
hex4e01500

81794304 has 108 divisors (see below), whose sum is σ = 238510272. Its totient is φ = 26956800.

The previous prime is 81794267. The next prime is 81794333. The reversal of 81794304 is 40349718.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301689 + ... + 301959.

Almost surely, 281794304 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 81794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119255136).

81794304 is an abundant number, since it is smaller than the sum of its proper divisors (156715968).

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

81794304 is a wasteful number, since it uses less digits than its factorization.

81794304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 81794304 is about 9044.0203449572. The cubic root of 81794304 is about 434.0845751065.

The spelling of 81794304 in words is "eighty-one million, seven hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 271 288 384 393 524 542 576 768 786 813 1048 1084 1152 1179 1572 1626 2096 2168 2304 2358 2439 3144 3252 4192 4336 4716 4878 6288 6504 8384 8672 9432 9756 12576 13008 16768 17344 18864 19512 25152 26016 33536 34688 35501 37728 39024 50304 52032 69376 71002 75456 78048 100608 104064 106503 142004 150912 156096 208128 213006 284008 301824 312192 319509 426012 568016 624384 639018 852024 1136032 1278036 1704048 2272064 2556072 3408096 4544128 5112144 6816192 9088256 10224288 13632384 20448576 27264768 40897152 81794304