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42973392 = 24372112151
BaseRepresentation
bin1010001111101…
…1100011010000
32222212021102010
42203323203100
542000122032
64133022520
71031160600
oct243734320
988767363
1042973392
1122291600
1212484a40
138b98057
1459c8c00
153b8cccc
hex28fb8d0

42973392 has 180 divisors, whose sum is σ = 142886688. Its totient is φ = 11088000.

The previous prime is 42973387. The next prime is 42973397. The reversal of 42973392 is 29337924.

42973392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42973387) and next prime (42973397).

It is a self number, because there is not a number n which added to its sum of digits gives 42973392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42973397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284517 + ... + 284667.

Almost surely, 242973392 is an apocalyptic number.

42973392 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 42973392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71443344).

42973392 is an abundant number, since it is smaller than the sum of its proper divisors (99913296).

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

42973392 is a wasteful number, since it uses less digits than its factorization.

42973392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 42973392 is about 6555.4093693682. The cubic root of 42973392 is about 350.2675287908.

It can be divided in two parts, 42973 and 392, that added together give a triangular number (43365 = T294).

The spelling of 42973392 in words is "forty-two million, nine hundred seventy-three thousand, three hundred ninety-two".