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8438742 = 234134007
BaseRepresentation
bin100000001100…
…001111010110
3120212201210000
4200030033112
54130014432
6500512130
7131504514
oct40141726
916781700
108438742
114844174
1229ab646
131996050
1411994b4
15b1a57c
hex80c3d6

8438742 has 40 divisors (see below), whose sum is σ = 20368656. Its totient is φ = 2595888.

The previous prime is 8438741. The next prime is 8438753. The reversal of 8438742 is 2478348.

It is a d-powerful number, because it can be written as 83 + 4 + 33 + 85 + 75 + 42 + 223 .

It is a junction number, because it is equal to n+sod(n) for n = 8438697 and 8438706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8438741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103 + ... + 4109.

Almost surely, 28438742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8438742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184328).

8438742 is an abundant number, since it is smaller than the sum of its proper divisors (11929914).

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

8438742 is a wasteful number, since it uses less digits than its factorization.

8438742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4025 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8438742 is about 2904.9512904694. The cubic root of 8438742 is about 203.5913098114.

It can be divided in two parts, 8438 and 742, that added together give a triangular number (9180 = T135).

The spelling of 8438742 in words is "eight million, four hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 4007 8014 12021 24042 36063 52091 72126 104182 108189 156273 216378 312546 324567 468819 649134 937638 1406457 2812914 4219371 8438742