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906108424 = 2313311272213
BaseRepresentation
bin110110000000100…
…001111000001000
32100011000002002021
4312000201320020
53323430432144
6225525014224
731311536344
oct6600417010
92304002067
10906108424
11425524741
12213554374
13115954b40
14884aa624
1554836884
hex36021e08

906108424 has 64 divisors (see below), whose sum is σ = 1904394240. Its totient is φ = 401345280.

The previous prime is 906108397. The next prime is 906108431. The reversal of 906108424 is 424801609.

It is a super-3 number, since 3×9061084243 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 906108424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408342 + ... + 410554.

It is an arithmetic number, because the mean of its divisors is an integer number (29756160).

Almost surely, 2906108424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906108424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952197120).

906108424 is an abundant number, since it is smaller than the sum of its proper divisors (998285816).

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

906108424 is a wasteful number, since it uses less digits than its factorization.

906108424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 906108424 is about 30101.6349057655. The cubic root of 906108424 is about 967.6687645918.

The spelling of 906108424 in words is "nine hundred six million, one hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 127 248 254 403 508 806 1016 1612 1651 2213 3224 3302 3937 4426 6604 7874 8852 13208 15748 17704 28769 31496 51181 57538 68603 102362 115076 137206 204724 230152 274412 281051 409448 548824 562102 891839 1124204 1783678 2248408 3567356 3653663 7134712 7307326 8712581 14614652 17425162 29229304 34850324 69700648 113263553 226527106 453054212 906108424