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203948442 = 2353113537
BaseRepresentation
bin11000010100000…
…00000110011010
3112012202122200000
430022000012122
5404202322232
632123153430
75024350605
oct1412000632
9465678600
10203948442
11a513a535
1258375876
133333a569
141d12d33c
1512d8927c
hexc28019a

203948442 has 48 divisors (see below), whose sum is σ = 473071872. Its totient is φ = 65784960.

The previous prime is 203948431. The next prime is 203948449. The reversal of 203948442 is 244849302.

203948442 is a `hidden beast` number, since 203 + 9 + 4 + 8 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 203948397 and 203948406.

It is not an unprimeable number, because it can be changed into a prime (203948449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8298 + ... + 21834.

It is an arithmetic number, because the mean of its divisors is an integer number (9855664).

Almost surely, 2203948442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203948442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236535936).

203948442 is an abundant number, since it is smaller than the sum of its proper divisors (269123430).

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

203948442 is a wasteful number, since it uses less digits than its factorization.

203948442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13585 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 203948442 is about 14281.0518520171. The cubic root of 203948442 is about 588.6269343976.

The spelling of 203948442 in words is "two hundred three million, nine hundred forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 7533 13537 15066 27074 40611 81222 121833 243666 365499 419647 730998 839294 1096497 1258941 2192994 2517882 3289491 3776823 6578982 7553646 11330469 22660938 33991407 67982814 101974221 203948442