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86192372 = 22721572801
BaseRepresentation
bin1010010001100…
…11000011110100
320000012000201002
411020303003310
5134031123442
612315222432
72064423500
oct510630364
9200160632
1086192372
1144720672
1224a47a18
1314b1ab06
14b639300
157878732
hex52330f4

86192372 has 36 divisors (see below), whose sum is σ = 176643684. Its totient is φ = 36691200.

The previous prime is 86192347. The next prime is 86192377. The reversal of 86192372 is 27329168.

It can be written as a sum of positive squares in 2 ways, for example, as 34409956 + 51782416 = 5866^2 + 7196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86192377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29372 + ... + 32172.

It is an arithmetic number, because the mean of its divisors is an integer number (4906769).

Almost surely, 286192372 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 86192372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88321842).

86192372 is an abundant number, since it is smaller than the sum of its proper divisors (90451312).

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

86192372 is a wasteful number, since it uses less digits than its factorization.

86192372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2967 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 86192372 is about 9283.9847048560. The cubic root of 86192372 is about 441.7293716754.

The spelling of 86192372 in words is "eighty-six million, one hundred ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 628 1099 2198 2801 4396 5602 7693 11204 15386 19607 30772 39214 78428 137249 274498 439757 548996 879514 1759028 3078299 6156598 12313196 21548093 43096186 86192372