Search a number
-
+
902490138 = 2321117326347
BaseRepresentation
bin110101110010101…
…110100000011010
32022220012020201200
4311302232200122
53322014141023
6225315255030
731236016404
oct6562564032
92286166650
10902490138
11423483220
122122aa476
13114c88c44
1487c07b74
155436e743
hex35cae81a

902490138 has 48 divisors (see below), whose sum is σ = 2145570336. Its totient is φ = 271890720.

The previous prime is 902490131. The next prime is 902490157. The reversal of 902490138 is 831094209.

902490138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (902490131) 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, 21081 + ... + 47427.

It is an arithmetic number, because the mean of its divisors is an integer number (44699382).

Almost surely, 2902490138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902490138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072785168).

902490138 is an abundant number, since it is smaller than the sum of its proper divisors (1243080198).

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

902490138 is a wasteful number, since it uses less digits than its factorization.

902490138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26539 (or 26536 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 902490138 is about 30041.4736322971. The cubic root of 902490138 is about 966.3790097449.

The spelling of 902490138 in words is "nine hundred two million, four hundred ninety thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3806 5709 11418 17127 26347 34254 52694 79041 158082 237123 289817 474246 579634 869451 1738902 2608353 4558031 5216706 9116062 13674093 27348186 41022279 50138341 82044558 100276682 150415023 300830046 451245069 902490138