Search a number
-
+
242050431 = 3767712423
BaseRepresentation
bin11100110110101…
…10010101111111
3121212110102202210
432123112111333
5443431103211
640003551503
75666252250
oct1633262577
9555412683
10242050431
111146a4087
126908b593
133b1bb20c
142420ab27
15163b39a6
hexe6d657f

242050431 has 32 divisors (see below), whose sum is σ = 379772928. Its totient is φ = 134275680.

The previous prime is 242050409. The next prime is 242050513. The reversal of 242050431 is 134050242.

It is not a de Polignac number, because 242050431 - 25 = 242050399 is a prime.

It is a super-2 number, since 2×2420504312 = 117176822294571522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 242050398 and 242050407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242050231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98686 + ... + 101108.

It is an arithmetic number, because the mean of its divisors is an integer number (11867904).

Almost surely, 2242050431 is an apocalyptic number.

242050431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242050431 is a deficient number, since it is larger than the sum of its proper divisors (137722497).

242050431 is a wasteful number, since it uses less digits than its factorization.

242050431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242050431 is about 15557.9700153973. The cubic root of 242050431 is about 623.2112532869.

The spelling of 242050431 in words is "two hundred forty-two million, fifty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 67 71 201 213 469 497 1407 1491 2423 4757 7269 14271 16961 33299 50883 99897 162341 172033 487023 516099 1136387 1204231 3409161 3612693 11526211 34578633 80683477 242050431