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21838050 = 23252133733
BaseRepresentation
bin101001101001…
…1100011100010
31112002111011200
41103103203202
521042304200
62100022030
7353422533
oct123234342
945074150
1021838050
1111366283
127391916
1346a7c30
142c8668a
151db5800
hex14d38e2

21838050 has 72 divisors (see below), whose sum is σ = 63201684. Its totient is φ = 5374080.

The previous prime is 21838027. The next prime is 21838057. The reversal of 21838050 is 5083812.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4524129 + 17313921 = 2127^2 + 4161^2 .

It is not an unprimeable number, because it can be changed into a prime (21838057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3984 + ... + 7716.

Almost surely, 221838050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21838050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600842).

21838050 is an abundant number, since it is smaller than the sum of its proper divisors (41363634).

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

21838050 is a wasteful number, since it uses less digits than its factorization.

21838050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21838050 is about 4673.1199428219. The cubic root of 21838050 is about 279.5146779883.

The spelling of 21838050 in words is "twenty-one million, eight hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 3733 5850 7466 11199 18665 22398 33597 37330 48529 55995 67194 93325 97058 111990 145587 167985 186650 242645 279975 291174 335970 436761 485290 559950 727935 839925 873522 1213225 1455870 1679850 2183805 2426450 3639675 4367610 7279350 10919025 21838050