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83744442 = 2341393719
BaseRepresentation
bin1001111110111…
…01011010111010
312211120122210000
410333131122322
5132414310232
612150533430
72034546615
oct477353272
9184518700
1083744442
11432a9491
1224067276
1314471832
14b19d17c
15754327c
hex4fdd6ba

83744442 has 40 divisors (see below), whose sum is σ = 189050400. Its totient is φ = 27706536.

The previous prime is 83744417. The next prime is 83744443. The reversal of 83744442 is 24444738.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83744397 and 83744406.

It is not an unprimeable number, because it can be changed into a prime (83744443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20659 + ... + 24377.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 283744442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83744442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525200).

83744442 is an abundant number, since it is smaller than the sum of its proper divisors (105305958).

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

83744442 is a wasteful number, since it uses less digits than its factorization.

83744442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3863 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 83744442 is about 9151.1989378442. The cubic root of 83744442 is about 437.5073274419.

The spelling of 83744442 in words is "eighty-three million, seven hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3719 3753 7438 7506 11157 11259 22314 22518 33471 66942 100413 200826 301239 516941 602478 1033882 1550823 3101646 4652469 9304938 13957407 27914814 41872221 83744442