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242292096 = 2732210323
BaseRepresentation
bin11100111000100…
…01010110000000
3121212220201021100
432130101112000
5444011321341
640013054400
76001306644
oct1634212600
9555821240
10242292096
11114849702
1269187400
133b274207
1424270c24
15164103b6
hexe711580

242292096 has 48 divisors (see below), whose sum is σ = 697224060. Its totient is φ = 80763648.

The previous prime is 242292079. The next prime is 242292101. The reversal of 242292096 is 690292242.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242292096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104010 + ... + 106313.

Almost surely, 2242292096 is an apocalyptic number.

It is an amenable number.

242292096 is an abundant number, since it is smaller than the sum of its proper divisors (454931964).

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

242292096 is a wasteful number, since it uses less digits than its factorization.

242292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210343 (or 210328 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 242292096 is about 15565.7346758834. The cubic root of 242292096 is about 623.4185905924.

The spelling of 242292096 in words is "two hundred forty-two million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 210323 420646 630969 841292 1261938 1682584 1892907 2523876 3365168 3785814 5047752 6730336 7571628 10095504 13460672 15143256 20191008 26921344 30286512 40382016 60573024 80764032 121146048 242292096