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204002442 = 2337737393
BaseRepresentation
bin11000010100011…
…01010010001010
3112012212101202000
430022031102022
5404211034232
632124251430
75024664210
oct1412152212
9465771660
10204002442
11a5177066
12583a0b76
1333359007
141d144cb0
1512d9a27c
hexc28d48a

204002442 has 64 divisors (see below), whose sum is σ = 525269760. Its totient is φ = 57480192.

The previous prime is 204002399. The next prime is 204002473. The reversal of 204002442 is 244200402.

204002442 is a `hidden beast` number, since 20 + 400 + 244 + 2 = 666.

204002442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

204002442 is a modest number, since divided by 2442 gives 204 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 23898 + ... + 31290.

It is an arithmetic number, because the mean of its divisors is an integer number (8207340).

Almost surely, 2204002442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204002442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262634880).

204002442 is an abundant number, since it is smaller than the sum of its proper divisors (321267318).

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

204002442 is a wasteful number, since it uses less digits than its factorization.

204002442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204002442 is about 14282.9423439290. The cubic root of 204002442 is about 588.6788806137.

Adding to 204002442 its reverse (244200402), we get a palindrome (448202844).

The spelling of 204002442 in words is "two hundred four million, two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 7393 9198 13797 14786 22179 27594 44358 51751 66537 103502 133074 155253 199611 310506 399222 465759 539689 931518 1079378 1397277 1619067 2794554 3238134 3777823 4857201 7555646 9714402 11333469 14571603 22666938 29143206 34000407 68000814 102001221 204002442