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84255392 = 2513337601
BaseRepresentation
bin1010000010110…
…10001010100000
312212112121200002
411001122022200
5133032133032
612205515132
72042105354
oct501321240
9185477602
1084255392
1143618361
1224272aa8
13145c0280
14b293464
1575e4862
hex505a2a0

84255392 has 48 divisors (see below), whose sum is σ = 179465832. Its totient is φ = 38707200.

The previous prime is 84255389. The next prime is 84255397. The reversal of 84255392 is 29355248.

It can be written as a sum of positive squares in 4 ways, for example, as 63425296 + 20830096 = 7964^2 + 4564^2 .

It is not an unprimeable number, because it can be changed into a prime (84255397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139892 + ... + 140492.

Almost surely, 284255392 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 84255392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89732916).

84255392 is an abundant number, since it is smaller than the sum of its proper divisors (95210440).

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

84255392 is a wasteful number, since it uses less digits than its factorization.

84255392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 84255392 is about 9179.0735915995. The cubic root of 84255392 is about 438.3953118116.

It can be divided in two parts, 8425 and 5392, that multiplied together give a square (45427600 = 67402).

The spelling of 84255392 in words is "eighty-four million, two hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 337 416 601 674 1202 1348 2404 2696 4381 4808 5392 7813 8762 9616 10784 15626 17524 19232 31252 35048 62504 70096 125008 140192 202537 250016 405074 810148 1620296 2632981 3240592 5265962 6481184 10531924 21063848 42127696 84255392