Base | Representation |
---|---|
bin | 1001000010111… |
… | …1101100011010 |
3 | 2122101202111200 |
4 | 2100233230122 |
5 | 34203202330 |
6 | 3433135030 |
7 | 640343112 |
oct | 220575432 |
9 | 78352450 |
10 | 37944090 |
11 | 1a466a58 |
12 | 1085a476 |
13 | 7b26b32 |
14 | 507a042 |
15 | 34e7a60 |
hex | 242fb1a |
37944090 has 48 divisors (see below), whose sum is σ = 99265608. Its totient is φ = 10055808.
The previous prime is 37944059. The next prime is 37944107. The reversal of 37944090 is 9044973.
37944090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 37859409 + 84681 = 6153^2 + 291^2 .
It is a Curzon number.
It is an unprimeable number.
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, 14352 + ... + 16788.
Almost surely, 237944090 is an apocalyptic number.
37944090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 37944090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49632804).
37944090 is an abundant number, since it is smaller than the sum of its proper divisors (61321518).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37944090 is a wasteful number, since it uses less digits than its factorization.
37944090 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2623 (or 2620 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 37944090 is about 6159.8774338456. The cubic root of 37944090 is about 336.0325754981.
The spelling of 37944090 in words is "thirty-seven million, nine hundred forty-four thousand, ninety".
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