Search a number
-
+
42099428 = 2272347619
BaseRepresentation
bin1010000010011…
…0001011100100
32221012212120002
42200212023210
541234140203
64102200432
71020560600
oct240461344
987185502
1042099428
1121844a18
1212123118
138950307
14583c500
153a68d88
hex28262e4

42099428 has 36 divisors (see below), whose sum is σ = 86088240. Its totient is φ = 17961552.

The previous prime is 42099413. The next prime is 42099433. The reversal of 42099428 is 82499024.

It is a junction number, because it is equal to n+sod(n) for n = 42099391 and 42099400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67703 + ... + 68321.

It is an arithmetic number, because the mean of its divisors is an integer number (2391340).

Almost surely, 242099428 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 42099428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43044120).

42099428 is an abundant number, since it is smaller than the sum of its proper divisors (43988812).

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

42099428 is a wasteful number, since it uses less digits than its factorization.

42099428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 42099428 is about 6488.4072005385. The cubic root of 42099428 is about 347.8767454468.

The spelling of 42099428 in words is "forty-two million, ninety-nine thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 347 619 694 1238 1388 2429 2476 4333 4858 8666 9716 17003 17332 30331 34006 60662 68012 121324 214793 429586 859172 1503551 3007102 6014204 10524857 21049714 42099428