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424204038 = 232374331471
BaseRepresentation
bin11001010010001…
…101011100000110
31002120012210112200
4121102031130012
51332044012123
6110032055330
713340450316
oct3122153406
91076183480
10424204038
111a84a7855
12ba094546
1369b6740b
14404a5446
1527395143
hex1948d706

424204038 has 48 divisors (see below), whose sum is σ = 946772736. Its totient is φ = 137168640.

The previous prime is 424204037. The next prime is 424204049. The reversal of 424204038 is 830402424.

It is a happy number.

424204038 is a `hidden beast` number, since 424 + 204 + 0 + 38 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424204037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 287643 + ... + 289113.

It is an arithmetic number, because the mean of its divisors is an integer number (19724432).

Almost surely, 2424204038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424204038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473386368).

424204038 is an abundant number, since it is smaller than the sum of its proper divisors (522568698).

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

424204038 is a wasteful number, since it uses less digits than its factorization.

424204038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424204038 is about 20596.2141666861. The cubic root of 424204038 is about 751.3776385998.

The spelling of 424204038 in words is "four hundred twenty-four million, two hundred four thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 433 666 866 1299 1471 2598 2942 3897 4413 7794 8826 13239 16021 26478 32042 48063 54427 96126 108854 144189 163281 288378 326562 489843 636943 979686 1273886 1910829 3821658 5732487 11464974 23566891 47133782 70700673 141401346 212102019 424204038