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86020844 = 22713292281
BaseRepresentation
bin1010010000010…
…01001011101100
312222212022102012
411020021023230
5134010131334
612311420352
72063110430
oct510111354
9188768365
1086020844
1144613808
12249846b8
1314a8aa10
14b5d29c0
1578429ce
hex52092ec

86020844 has 72 divisors (see below), whose sum is σ = 192567648. Its totient is φ = 32739840.

The previous prime is 86020817. The next prime is 86020849. The reversal of 86020844 is 44802068.

It is a self number, because there is not a number n which added to its sum of digits gives 86020844.

It is not an unprimeable number, because it can be changed into a prime (86020849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305984 + ... + 306264.

Almost surely, 286020844 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 86020844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96283824).

86020844 is an abundant number, since it is smaller than the sum of its proper divisors (106546804).

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

86020844 is a wasteful number, since it uses less digits than its factorization.

86020844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 86020844 is about 9274.7422605698. The cubic root of 86020844 is about 441.4361544176.

The spelling of 86020844 in words is "eighty-six million, twenty thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 281 364 377 406 562 754 812 841 1124 1508 1682 1967 2639 3364 3653 3934 5278 5887 7306 7868 8149 10556 10933 11774 14612 16298 21866 23548 25571 32596 43732 51142 57043 76531 102284 105937 114086 153062 211874 228172 236321 306124 423748 472642 741559 945284 1483118 1654247 2966236 3072173 3308494 6144346 6616988 12288692 21505211 43010422 86020844