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242036832 = 2533768141
BaseRepresentation
bin11100110110100…
…11000001100000
3121212102202010010
432123103001200
5443430134312
640003404520
75666164512
oct1633230140
9555382103
10242036832
11114694944
1269083740
133b1b4c7b
1424205bb2
15163ae93c
hexe6d3060

242036832 has 48 divisors (see below), whose sum is σ = 652527792. Its totient is φ = 78497280.

The previous prime is 242036831. The next prime is 242036833. The reversal of 242036832 is 238630242.

242036832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242036831) and next prime (242036833).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 242036832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242036831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30519 + ... + 37622.

It is an arithmetic number, because the mean of its divisors is an integer number (13594329).

Almost surely, 2242036832 is an apocalyptic number.

It is an amenable number.

242036832 is an abundant number, since it is smaller than the sum of its proper divisors (410490960).

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

242036832 is a wasteful number, since it uses less digits than its factorization.

242036832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68191 (or 68183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 242036832 is about 15557.5329663800. The cubic root of 242036832 is about 623.1995818781.

The spelling of 242036832 in words is "two hundred forty-two million, thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 68141 136282 204423 272564 408846 545128 817692 1090256 1635384 2180512 2521217 3270768 5042434 6541536 7563651 10084868 15127302 20169736 30254604 40339472 60509208 80678944 121018416 242036832