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242387408 = 24194119447
BaseRepresentation
bin11100111001010…
…00100111010000
3121220002120000102
432130220213100
5444022344113
640015111532
76002154554
oct1634504720
9556076012
10242387408
1111490427a
12692125a8
133b2a8703
1424297864
151642d758
hexe7289d0

242387408 has 40 divisors (see below), whose sum is σ = 506425920. Its totient is φ = 112008960.

The previous prime is 242387381. The next prime is 242387429. The reversal of 242387408 is 804783242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 2741 + ... + 22187.

It is an arithmetic number, because the mean of its divisors is an integer number (12660648).

Almost surely, 2242387408 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 242387408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253212960).

242387408 is an abundant number, since it is smaller than the sum of its proper divisors (264038512).

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

242387408 is a wasteful number, since it uses less digits than its factorization.

242387408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19509 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 242387408 is about 15568.7959714295. The cubic root of 242387408 is about 623.5003259358.

The spelling of 242387408 in words is "two hundred forty-two million, three hundred eighty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 12464 19447 38894 77788 155576 311152 369493 738986 797327 1477972 1594654 2955944 3189308 5911888 6378616 12757232 15149213 30298426 60596852 121193704 242387408