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8211942 = 23561277
BaseRepresentation
bin11111010100110111100110
3120110012200000
4133110313212
54100240232
6452002130
7126541344
oct37246746
916405600
108211942
1146a9832
122900346
131916a4b
14113a994
15ac327c
hex7d4de6

8211942 has 48 divisors (see below), whose sum is σ = 18821712. Its totient is φ = 2682720.

The previous prime is 8211919. The next prime is 8211949. The reversal of 8211942 is 2491128.

It is a super-2 number, since 2×82119422 = 134871982822728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8211949) 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, 29508 + ... + 29784.

It is an arithmetic number, because the mean of its divisors is an integer number (392119).

Almost surely, 28211942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8211942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410856).

8211942 is an abundant number, since it is smaller than the sum of its proper divisors (10609770).

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

8211942 is a wasteful number, since it uses less digits than its factorization.

8211942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8211942 is about 2865.6486176780. The cubic root of 8211942 is about 201.7508118982.

The spelling of 8211942 in words is "eight million, two hundred eleven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 277 366 486 549 554 831 1098 1647 1662 2493 3294 4941 4986 7479 9882 14823 14958 16897 22437 29646 33794 44874 50691 67311 101382 134622 152073 304146 456219 912438 1368657 2737314 4105971 8211942