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83820726 = 232113491213
BaseRepresentation
bin1001111111100…
…00000010110110
312211201112102100
410333300002312
5132424230401
612152322530
72035315203
oct477600266
9184645370
1083820726
1143350830
12240a3446
131449a482
14b1bccaa
15755ab86
hex4ff00b6

83820726 has 48 divisors (see below), whose sum is σ = 198853200. Its totient is φ = 25306560.

The previous prime is 83820721. The next prime is 83820733. The reversal of 83820726 is 62702838.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83820721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68496 + ... + 69708.

It is an arithmetic number, because the mean of its divisors is an integer number (4142775).

Almost surely, 283820726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83820726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99426600).

83820726 is an abundant number, since it is smaller than the sum of its proper divisors (115032474).

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

83820726 is a wasteful number, since it uses less digits than its factorization.

83820726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83820726 is about 9155.3659675624. The cubic root of 83820726 is about 437.6401310025.

The spelling of 83820726 in words is "eighty-three million, eight hundred twenty thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 349 698 1047 1213 2094 2426 3141 3639 3839 6282 7278 7678 10917 11517 13343 21834 23034 26686 34551 40029 69102 80058 120087 240174 423337 846674 1270011 2540022 3810033 4656707 7620066 9313414 13970121 27940242 41910363 83820726