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1924232648 = 2313211932
BaseRepresentation
bin111001010110001…
…0111010111001000
311222002210010221212
41302230113113020
512420100421043
6514534552252
765453464502
oct16254272710
94862703855
101924232648
118a81a7518
12458508688
13248869700
141437b4d72
15b3de8018
hex72b175c8

1924232648 has 36 divisors (see below), whose sum is σ = 3910096035. Its totient is φ = 887362944.

The previous prime is 1924232641. The next prime is 1924232659. The reversal of 1924232648 is 8462324291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 303526084 + 1620706564 = 17422^2 + 40258^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31018.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1924232641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1612340 + ... + 1613532.

Almost surely, 21924232648 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 1924232648

1924232648 is an abundant number, since it is smaller than the sum of its proper divisors (1985863387).

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

1924232648 is an equidigital number, since it uses as much as digits as its factorization.

1924232648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 1208 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 1924232648 is about 43866.0762776887. The cubic root of 1924232648 is about 1243.8056529965.

Multiplying 1924232648 by its product of digits (165888), we get a square (319207105511424 = 178663682).

The spelling of 1924232648 in words is "one billion, nine hundred twenty-four million, two hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1193 1352 2386 4772 9544 15509 31018 62036 124072 201617 403234 806468 1423249 1612936 2846498 5692996 11385992 18502237 37004474 74008948 148017896 240529081 481058162 962116324 1924232648