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84266248 = 2311832139
BaseRepresentation
bin1010000010111…
…00110100001000
312212120011120011
411001130310020
5133033004443
612210041304
72042152123
oct501346410
9185504504
1084266248
1143625530
1224279234
13145c51b1
14b2973ba
1575e7b9d
hex505cd08

84266248 has 48 divisors (see below), whose sum is σ = 175719600. Its totient is φ = 37569120.

The previous prime is 84266243. The next prime is 84266261.

84266248 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 84266248.

It is not an unprimeable number, because it can be changed into a prime (84266243) 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, 606163 + ... + 606301.

It is an arithmetic number, because the mean of its divisors is an integer number (3660825).

Almost surely, 284266248 is an apocalyptic number.

84266248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84266248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87859800).

84266248 is an abundant number, since it is smaller than the sum of its proper divisors (91453352).

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

84266248 is a wasteful number, since it uses less digits than its factorization.

84266248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 235 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 84266248 is about 9179.6649176318. The cubic root of 84266248 is about 438.4141395488.

The spelling of 84266248 in words is "eighty-four million, two hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 83 88 139 166 278 332 556 664 913 1112 1529 1826 3058 3652 6116 6889 7304 11537 12232 13778 23074 27556 46148 55112 75779 92296 126907 151558 253814 303116 507628 606232 957571 1015256 1915142 3830284 7660568 10533281 21066562 42133124 84266248