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7985334 = 2372157173
BaseRepresentation
bin11110011101100010110110
3120000200211010
4132131202312
54021012314
6443053050
7124605600
oct36354266
916020733
107985334
114564555
122811186
131867866
1410bc170
15a7b059
hex79d8b6

7985334 has 48 divisors (see below), whose sum is σ = 18804528. Its totient is φ = 2253888.

The previous prime is 7985323. The next prime is 7985381. The reversal of 7985334 is 4335897.

It is a junction number, because it is equal to n+sod(n) for n = 7985292 and 7985301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46072 + ... + 46244.

It is an arithmetic number, because the mean of its divisors is an integer number (391761).

Almost surely, 27985334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7985334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402264).

7985334 is an abundant number, since it is smaller than the sum of its proper divisors (10819194).

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

7985334 is a wasteful number, since it uses less digits than its factorization.

7985334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 7985334 is about 2825.8333284184. The cubic root of 7985334 is about 199.8777085726.

The spelling of 7985334 in words is "seven million, nine hundred eighty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 173 294 314 346 471 519 942 1038 1099 1211 2198 2422 3297 3633 6594 7266 7693 8477 15386 16954 23079 25431 27161 46158 50862 54322 81483 162966 190127 380254 570381 1140762 1330889 2661778 3992667 7985334