Search a number
-
+
83213802 = 23272712437
BaseRepresentation
bin1001111010110…
…11110111101010
312210120200212200
410331123313222
5132300320202
612131321030
72030206560
oct475336752
9183520780
1083213802
1142a76841
1223a50176
1314317149
14b0a1a30
15748ae1c
hex4f5bdea

83213802 has 48 divisors (see below), whose sum is σ = 206898432. Its totient is φ = 23677920.

The previous prime is 83213797. The next prime is 83213807. The reversal of 83213802 is 20831238.

It is an interprime number because it is at equal distance from previous prime (83213797) and next prime (83213807).

It is not an unprimeable number, because it can be changed into a prime (83213807) 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, 32928 + ... + 35364.

It is an arithmetic number, because the mean of its divisors is an integer number (4310384).

Almost surely, 283213802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83213802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103449216).

83213802 is an abundant number, since it is smaller than the sum of its proper divisors (123684630).

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

83213802 is a wasteful number, since it uses less digits than its factorization.

83213802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83213802 is about 9122.1599415928. The cubic root of 83213802 is about 436.5812919611.

The spelling of 83213802 in words is "eighty-three million, two hundred thirteen thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271 542 813 1626 1897 2437 2439 3794 4874 4878 5691 7311 11382 14622 17059 17073 21933 34118 34146 43866 51177 102354 153531 307062 660427 1320854 1981281 3962562 4622989 5943843 9245978 11887686 13868967 27737934 41606901 83213802