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242419944 = 23313776987
BaseRepresentation
bin11100111001100…
…00100011101000
3121220011012122110
432130300203220
5444024414234
640015522320
76002351454
oct1634604350
9556135573
10242419944
11114926768
12692293a0
133b2ba470
14242a5664
15164381e9
hexe7308e8

242419944 has 32 divisors (see below), whose sum is σ = 652669920. Its totient is φ = 74590656.

The previous prime is 242419913. The next prime is 242419951. The reversal of 242419944 is 449914242.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 388182 + ... + 388805.

It is an arithmetic number, because the mean of its divisors is an integer number (20395935).

Almost surely, 2242419944 is an apocalyptic number.

242419944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242419944 is an abundant number, since it is smaller than the sum of its proper divisors (410249976).

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

242419944 is a wasteful number, since it uses less digits than its factorization.

242419944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777009 (or 777005 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 242419944 is about 15569.8408469708. The cubic root of 242419944 is about 623.5282224605.

The spelling of 242419944 in words is "two hundred forty-two million, four hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 776987 1553974 2330961 3107948 4661922 6215896 9323844 10100831 18647688 20201662 30302493 40403324 60604986 80806648 121209972 242419944