Search a number
-
+
293254452392 = 231124083138373
BaseRepresentation
bin1000100010001110101…
…00111101010010101000
31001000221101222201000112
410101013110331102220
514301041114434032
6342415204353452
730121055500646
oct4210724752250
91030841881015
10293254452392
11103406547570
1248a023a5888
1321866466b15
141029d300196
1579653a81b2
hex444753d4a8

293254452392 has 32 divisors (see below), whose sum is σ = 599867894880. Its totient is φ = 133290980160.

The previous prime is 293254452391. The next prime is 293254452427.

293254452392 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 293254452392.

It is not an unprimeable number, because it can be changed into a prime (293254452391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050118 + ... + 2188490.

It is an arithmetic number, because the mean of its divisors is an integer number (18745871715).

Almost surely, 2293254452392 is an apocalyptic number.

293254452392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

293254452392 is an abundant number, since it is smaller than the sum of its proper divisors (306613442488).

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

293254452392 is a wasteful number, since it uses less digits than its factorization.

293254452392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162473 (or 162469 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 50.

The spelling of 293254452392 in words is "two hundred ninety-three billion, two hundred fifty-four million, four hundred fifty-two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 24083 48166 96332 138373 192664 264913 276746 529826 553492 1059652 1106984 1522103 2119304 3044206 6088412 12176824 3332436959 6664873918 13329747836 26659495672 36656806549 73313613098 146627226196 293254452392