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204242472 = 233675003
BaseRepresentation
bin11000010110001…
…11111000101000
3112020022121000000
430023013320220
5404241224342
632133343000
75030014050
oct1413077050
9466277000
10204242472
11a5320435
1258497a60
1333411345
141d1a8560
1512de644c
hexc2c7e28

204242472 has 112 divisors (see below), whose sum is σ = 656324640. Its totient is φ = 58343328.

The previous prime is 204242459. The next prime is 204242497. The reversal of 204242472 is 274242402.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 38323 + ... + 43325.

Almost surely, 2204242472 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 204242472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328162320).

204242472 is an abundant number, since it is smaller than the sum of its proper divisors (452082168).

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

204242472 is an equidigital number, since it uses as much as digits as its factorization.

204242472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 204242472 is about 14291.3425541479. The cubic root of 204242472 is about 588.9096706773.

Adding to 204242472 its reverse (274242402), we get a palindrome (478484874).

The spelling of 204242472 in words is "two hundred four million, two hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5003 5103 5832 6804 10006 10206 13608 15009 20012 20412 30018 35021 40024 40824 45027 60036 70042 90054 105063 120072 135081 140084 180108 210126 270162 280168 315189 360216 405243 420252 540324 630378 810486 840504 945567 1080648 1215729 1260756 1620972 1891134 2431458 2521512 2836701 3241944 3647187 3782268 4862916 5673402 7294374 7564536 8510103 9725832 11346804 14588748 17020206 22693608 25530309 29177496 34040412 51060618 68080824 102121236 204242472