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2424085938 = 232352738183
BaseRepresentation
bin1001000001111100…
…1001110110110010
320020221100022202200
42100133021312302
514431031222223
61040312324030
7114033250641
oct22037116662
96227308680
102424085938
11103437370a
125779a3616
132c829caa1
1418dd2d358
15e2c32a43
hex907c9db2

2424085938 has 24 divisors (see below), whose sum is σ = 5253812928. Its totient is φ = 807778392.

The previous prime is 2424085933. The next prime is 2424085967. The reversal of 2424085938 is 8395804242.

2424085938 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2424085893 and 2424085902.

It is not an unprimeable number, because it can be changed into a prime (2424085931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44395 + ... + 82577.

It is an arithmetic number, because the mean of its divisors is an integer number (218908872).

Almost surely, 22424085938 is an apocalyptic number.

2424085938 is an abundant number, since it is smaller than the sum of its proper divisors (2829726990).

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

2424085938 is a wasteful number, since it uses less digits than its factorization.

2424085938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41718 (or 41715 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2424085938 is about 49235.0072407835. The cubic root of 2424085938 is about 1343.3298669456.

The spelling of 2424085938 in words is "two billion, four hundred twenty-four million, eighty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 3527 7054 10581 21162 31743 38183 63486 76366 114549 229098 343647 687294 134671441 269342882 404014323 808028646 1212042969 2424085938