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71794016 = 257331211
BaseRepresentation
bin1000100011101…
…11110101100000
312000002111212122
410101313311200
5121334402031
611042443412
71531145000
oct421676540
9160074778
1071794016
11375869a8
1220063568
1311b49288
14976c000
15648247b
hex4477d60

71794016 has 96 divisors (see below), whose sum is σ = 170956800. Its totient is φ = 29635200.

The previous prime is 71794013. The next prime is 71794061. The reversal of 71794016 is 61049717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71794013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340151 + ... + 340361.

It is an arithmetic number, because the mean of its divisors is an integer number (1780800).

Almost surely, 271794016 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 71794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85478400).

71794016 is an abundant number, since it is smaller than the sum of its proper divisors (99162784).

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

71794016 is a wasteful number, since it uses less digits than its factorization.

71794016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 71794016 is about 8473.1349570274. The cubic root of 71794016 is about 415.6196597652.

The spelling of 71794016 in words is "seventy-one million, seven hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 211 217 224 248 343 392 422 434 496 686 784 844 868 992 1372 1477 1519 1568 1688 1736 2744 2954 3038 3376 3472 5488 5908 6076 6541 6752 6944 10339 10633 10976 11816 12152 13082 20678 21266 23632 24304 26164 41356 42532 45787 47264 48608 52328 72373 82712 85064 91574 104656 144746 165424 170128 183148 209312 289492 320509 330848 340256 366296 578984 641018 732592 1157968 1282036 1465184 2243563 2315936 2564072 4487126 5128144 8974252 10256288 17948504 35897008 71794016