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82995248 = 2472233323
BaseRepresentation
bin1001111001001…
…10100000110000
312210011121002002
410330212200300
5132221321443
612122513132
72025306440
oct474464060
9183147062
1082995248
1142937616
12239657a8
131426b81b
14b046120
1574462b8
hex4f26830

82995248 has 40 divisors (see below), whose sum is σ = 184654848. Its totient is φ = 35399232.

The previous prime is 82995221. The next prime is 82995257. The reversal of 82995248 is 84259928.

It is a super-2 number, since 2×829952482 = 13776422381163008, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23315 + ... + 26637.

Almost surely, 282995248 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 82995248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92327424).

82995248 is an abundant number, since it is smaller than the sum of its proper divisors (101659600).

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

82995248 is a wasteful number, since it uses less digits than its factorization.

82995248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3555 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 82995248 is about 9110.1727755296. The cubic root of 82995248 is about 436.1987422638.

The spelling of 82995248 in words is "eighty-two million, nine hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 446 892 1561 1784 3122 3323 3568 6244 6646 12488 13292 23261 24976 26584 46522 53168 93044 186088 372176 741029 1482058 2964116 5187203 5928232 10374406 11856464 20748812 41497624 82995248