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8114742 = 23559283
BaseRepresentation
bin11110111101001000110110
3120021021100000
4132331020312
54034132432
6445532130
7125655066
oct36751066
916237300
108114742
1146427a9
122874046
1318b172c
1411133a6
15aa457c
hex7bd236

8114742 has 48 divisors (see below), whose sum is σ = 18607680. Its totient is φ = 2649672.

The previous prime is 8114741. The next prime is 8114749. The reversal of 8114742 is 2474118.

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 (8114741) 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, 28533 + ... + 28815.

It is an arithmetic number, because the mean of its divisors is an integer number (387660).

Almost surely, 28114742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8114742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303840).

8114742 is an abundant number, since it is smaller than the sum of its proper divisors (10492938).

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

8114742 is a wasteful number, since it uses less digits than its factorization.

8114742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 8114742 is about 2848.6386222194. The cubic root of 8114742 is about 200.9516479819.

The spelling of 8114742 in words is "eight million, one hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 283 354 486 531 566 849 1062 1593 1698 2547 3186 4779 5094 7641 9558 14337 15282 16697 22923 28674 33394 45846 50091 68769 100182 137538 150273 300546 450819 901638 1352457 2704914 4057371 8114742