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83290038 = 231317232731
BaseRepresentation
bin1001111011011…
…10011110110110
312210201120110020
410331232132312
5132310240123
612133110010
72030645046
oct475563666
9183646406
1083290038
1143019047
1223a88306
1314342a60
14b0c1726
1574a37e3
hex4f6e7b6

83290038 has 64 divisors (see below), whose sum is σ = 198277632. Its totient is φ = 23063040.

The previous prime is 83290037. The next prime is 83290043. The reversal of 83290038 is 83009238.

It is a junction number, because it is equal to n+sod(n) for n = 83289990 and 83290008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83290033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29133 + ... + 31863.

It is an arithmetic number, because the mean of its divisors is an integer number (3098088).

Almost surely, 283290038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83290038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99138816).

83290038 is an abundant number, since it is smaller than the sum of its proper divisors (114987594).

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

83290038 is a wasteful number, since it uses less digits than its factorization.

83290038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83290038 is about 9126.3376005931. The cubic root of 83290038 is about 436.7145753494.

The spelling of 83290038 in words is "eighty-three million, two hundred ninety thousand, thirty-eight".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2346 2731 5083 5462 8193 10166 15249 16386 30498 35503 46427 62813 71006 92854 106509 125626 139281 188439 213018 278562 376878 603551 816569 1067821 1207102 1633138 1810653 2135642 2449707 3203463 3621306 4899414 6406926 13881673 27763346 41645019 83290038