Base | Representation |
---|---|
bin | 1000110111100… |
… | …1111001000100 |
3 | 2120222221000121 |
4 | 2031321321010 |
5 | 34010340203 |
6 | 3405151324 |
7 | 631122100 |
oct | 215717104 |
9 | 76887017 |
10 | 37199428 |
11 | 19aa8532 |
12 | 1055b544 |
13 | 7925bc6 |
14 | 4d24900 |
15 | 33ec0bd |
hex | 2379e44 |
37199428 has 36 divisors (see below), whose sum is σ = 77177772. Its totient is φ = 15637440.
The previous prime is 37199401. The next prime is 37199453. The reversal of 37199428 is 82499173.
37199428 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 2 ways, for example, as 30272004 + 6927424 = 5502^2 + 2632^2 .
It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.
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 11 ways as a sum of consecutive naturals, for example, 8598 + ... + 12178.
It is an arithmetic number, because the mean of its divisors is an integer number (2143827).
Almost surely, 237199428 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37199428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38588886).
37199428 is an abundant number, since it is smaller than the sum of its proper divisors (39978344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37199428 is a wasteful number, since it uses less digits than its factorization.
37199428 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3652 (or 3643 counting only the distinct ones).
The product of its digits is 108864, while the sum is 43.
The square root of 37199428 is about 6099.1333810632. The cubic root of 37199428 is about 333.8197959393.
It can be divided in two parts, 371 and 99428, that added together give a palindrome (99799).
The spelling of 37199428 in words is "thirty-seven million, one hundred ninety-nine thousand, four hundred twenty-eight".
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