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242788052 = 22136176541
BaseRepresentation
bin11100111100010…
…10011011010100
3121220211220121002
432132022123110
5444123204202
640031442432
76005443613
oct1636123324
9556756532
10242788052
11115058291
1269386418
133b3b8b90
142435d87a
15164ac302
hexe78a6d4

242788052 has 24 divisors (see below), whose sum is σ = 465069192. Its totient is φ = 110217600.

The previous prime is 242788037. The next prime is 242788079. The reversal of 242788052 is 250887242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17007376 + 225780676 = 4124^2 + 15026^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242787997 and 242788015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35099 + ... + 41442.

It is an arithmetic number, because the mean of its divisors is an integer number (19377883).

Almost surely, 2242788052 is an apocalyptic number.

It is an amenable number.

242788052 is a deficient number, since it is larger than the sum of its proper divisors (222281140).

242788052 is a wasteful number, since it uses less digits than its factorization.

242788052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76619 (or 76617 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 242788052 is about 15581.6575498244. The cubic root of 242788052 is about 623.8436663206.

The spelling of 242788052 in words is "two hundred forty-two million, seven hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 4 13 26 52 61 122 244 793 1586 3172 76541 153082 306164 995033 1990066 3980132 4669001 9338002 18676004 60697013 121394026 242788052