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86910448 = 2429971931
BaseRepresentation
bin1010010111000…
…10010111110000
320001112111201111
411023202113300
5134222113243
612342443104
72103504142
oct513422760
9201474644
1086910448
1145071119
1225133494
131500c901
14b784c92
15796b39d
hex52e25f0

86910448 has 40 divisors (see below), whose sum is σ = 176082480. Its totient is φ = 41502720.

The previous prime is 86910433. The next prime is 86910451. The reversal of 86910448 is 84401968.

It is a self number, because there is not a number n which added to its sum of digits gives 86910448.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44043 + ... + 45973.

It is an arithmetic number, because the mean of its divisors is an integer number (4402062).

Almost surely, 286910448 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 86910448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88041240).

86910448 is an abundant number, since it is smaller than the sum of its proper divisors (89172032).

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

86910448 is a wasteful number, since it uses less digits than its factorization.

86910448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 86910448 is about 9322.5773260403. The cubic root of 86910448 is about 442.9526758076.

The spelling of 86910448 in words is "eighty-six million, nine hundred ten thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 97 116 194 232 388 464 776 1552 1931 2813 3862 5626 7724 11252 15448 22504 30896 45008 55999 111998 187307 223996 374614 447992 749228 895984 1498456 2996912 5431903 10863806 21727612 43455224 86910448