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84442368 = 283432557
BaseRepresentation
bin1010000100001…
…11110100000000
312212220010011010
411002013310000
5133104123433
612213520520
72043514443
oct502076400
9185803133
1084442368
114373588a
1224343140
13146573ca
14b30165a
15762ee63
hex5087d00

84442368 has 72 divisors (see below), whose sum is σ = 230056288. Its totient is φ = 27482112.

The previous prime is 84442343. The next prime is 84442373. The reversal of 84442368 is 86324448.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31746 + ... + 34302.

Almost surely, 284442368 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 84442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115028144).

84442368 is an abundant number, since it is smaller than the sum of its proper divisors (145613920).

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

84442368 is a wasteful number, since it uses less digits than its factorization.

84442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2605 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 84442368 is about 9189.2528531976. The cubic root of 84442368 is about 438.7193616644.

The spelling of 84442368 in words is "eighty-four million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2557 2752 4128 5114 5504 7671 8256 10228 11008 15342 16512 20456 30684 33024 40912 61368 81824 109951 122736 163648 219902 245472 327296 329853 439804 490944 654592 659706 879608 981888 1319412 1759216 1963776 2638824 3518432 5277648 7036864 10555296 14073728 21110592 28147456 42221184 84442368