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42835392 = 26348263
BaseRepresentation
bin1010001101100…
…1110111000000
32222121021010000
42203121313000
541431213032
64130040000
71030044345
oct243316700
988537100
1042835392
11221a7956
1212419000
138b4a2b2
1459907cc
153b61e7c
hex28d9dc0

42835392 has 70 divisors (see below), whose sum is σ = 126992888. Its totient is φ = 14276736.

The previous prime is 42835369. The next prime is 42835399. The reversal of 42835392 is 29353824.

42835392 is a `hidden beast` number, since 42 + 83 + 539 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42835399) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1053 + ... + 9315.

Almost surely, 242835392 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 42835392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63496444).

42835392 is an abundant number, since it is smaller than the sum of its proper divisors (84157496).

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

42835392 is an equidigital number, since it uses as much as digits as its factorization.

42835392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8268 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42835392 is about 6544.8752470922. The cubic root of 42835392 is about 349.8921899241.

The spelling of 42835392 in words is "forty-two million, eight hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8263 16526 24789 33052 49578 66104 74367 99156 132208 148734 198312 223101 264416 297468 396624 446202 528832 594936 669303 793248 892404 1189872 1338606 1586496 1784808 2379744 2677212 3569616 4759488 5354424 7139232 10708848 14278464 21417696 42835392