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86246380 = 225112157227
BaseRepresentation
bin1010010010000…
…00001111101100
320000021202210101
411021000033230
5134034341010
612320320444
72065040113
oct511001754
9200252711
1086246380
1144758200
1224a73124
1314b3957c
14b650c7a
15788973a
hex52403ec

86246380 has 72 divisors (see below), whose sum is σ = 201230064. Its totient is φ = 31025280.

The previous prime is 86246323. The next prime is 86246383. The reversal of 86246380 is 8364268.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86246383) 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, 379827 + ... + 380053.

It is an arithmetic number, because the mean of its divisors is an integer number (2794862).

Almost surely, 286246380 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 86246380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100615032).

86246380 is an abundant number, since it is smaller than the sum of its proper divisors (114983684).

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

86246380 is a wasteful number, since it uses less digits than its factorization.

86246380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 86246380 is about 9286.8929142098. The cubic root of 86246380 is about 441.8216147134.

The spelling of 86246380 in words is "eighty-six million, two hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 227 242 314 454 484 605 628 785 908 1135 1210 1570 1727 2270 2420 2497 3140 3454 4540 4994 6908 8635 9988 12485 17270 18997 24970 27467 34540 35639 37994 49940 54934 71278 75988 94985 109868 137335 142556 178195 189970 274670 356390 379940 392029 549340 712780 784058 1568116 1960145 3920290 4312319 7840580 8624638 17249276 21561595 43123190 86246380