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203247642 = 231323277409
BaseRepresentation
bin11000001110101…
…01000000011010
3112011110001100110
430013111000122
5404012411032
632100145150
75015401503
oct1407250032
9464401313
10203247642
11a4800a64
12580981b6
13331535a0
141cdc9baa
1512c9b7cc
hexc1d501a

203247642 has 64 divisors (see below), whose sum is σ = 459567360. Its totient is φ = 59457024.

The previous prime is 203247637. The next prime is 203247643. The reversal of 203247642 is 246742302.

It is not an unprimeable number, because it can be changed into a prime (203247643) by changing a digit.

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, 496734 + ... + 497142.

It is an arithmetic number, because the mean of its divisors is an integer number (7180740).

Almost surely, 2203247642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203247642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229783680).

203247642 is an abundant number, since it is smaller than the sum of its proper divisors (256319718).

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

203247642 is a wasteful number, since it uses less digits than its factorization.

203247642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 203247642 is about 14256.4947304728. The cubic root of 203247642 is about 587.9519547490.

Adding to 203247642 its reverse (246742302), we get a palindrome (449989944).

It can be divided in two parts, 20324 and 7642, that added together give a triangular number (27966 = T236).

The spelling of 203247642 in words is "two hundred three million, two hundred forty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 277 299 409 554 598 818 831 897 1227 1662 1794 2454 3601 5317 6371 7202 9407 10634 10803 12742 15951 18814 19113 21606 28221 31902 38226 56442 82823 113293 122291 165646 226586 244582 248469 339879 366873 496938 679758 733746 1472809 2605739 2945618 4418427 5211478 7817217 8836854 15634434 33874607 67749214 101623821 203247642