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42986832 = 2437314127
BaseRepresentation
bin1010001111111…
…0110101010000
32222212221211220
42203332311100
542001034312
64133205040
71031245020
oct243766520
988787756
1042986832
11222a0709
1212490780
138ba11c5
1459cda80
153b91c8c
hex28fed50

42986832 has 80 divisors (see below), whose sum is σ = 131039232. Its totient is φ = 11882880.

The previous prime is 42986809. The next prime is 42986837. The reversal of 42986832 is 23868924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42986837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8353 + ... + 12479.

Almost surely, 242986832 is an apocalyptic number.

42986832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42986832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65519616).

42986832 is an abundant number, since it is smaller than the sum of its proper divisors (88052400).

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

42986832 is a wasteful number, since it uses less digits than its factorization.

42986832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4170 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 42986832 is about 6556.4343968349. The cubic root of 42986832 is about 350.3040405692.

The spelling of 42986832 in words is "forty-two million, nine hundred eighty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 4127 5208 8254 10416 12381 16508 24762 28889 33016 49524 57778 66032 86667 99048 115556 127937 173334 198096 231112 255874 346668 383811 462224 511748 693336 767622 895559 1023496 1386672 1535244 1791118 2046992 2686677 3070488 3582236 5373354 6140976 7164472 10746708 14328944 21493416 42986832