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242924980 = 22537328277
BaseRepresentation
bin11100111101010…
…11110110110100
3121221002212102111
432132223312310
5444142044410
640034420404
76006554044
oct1636536664
9557085374
10242924980
11115141151
1269431704
133b4362bc
1424397724
15164d7b8a
hexe7abdb4

242924980 has 24 divisors (see below), whose sum is σ = 523931688. Its totient is φ = 94543488.

The previous prime is 242924971. The next prime is 242925029. The reversal of 242924980 is 89429242.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 121308196 = 11028^2 + 11014^2 .

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, 163399 + ... + 164878.

It is an arithmetic number, because the mean of its divisors is an integer number (21830487).

Almost surely, 2242924980 is an apocalyptic number.

242924980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242924980 is an abundant number, since it is smaller than the sum of its proper divisors (281006708).

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

242924980 is a wasteful number, since it uses less digits than its factorization.

242924980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328323 (or 328321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 242924980 is about 15586.0508147510. The cubic root of 242924980 is about 623.9609230679.

The spelling of 242924980 in words is "two hundred forty-two million, nine hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 328277 656554 1313108 1641385 3282770 6565540 12146249 24292498 48584996 60731245 121462490 242924980