Search a number
-
+
33100040 = 235827501
BaseRepresentation
bin111111001000…
…1000100001000
32022021122201102
41332101010020
531433200130
63141240532
7551226401
oct176210410
968248642
1033100040
1117758606
12b103148
136b1c02c
1445789a8
152d8c645
hex1f91108

33100040 has 16 divisors (see below), whose sum is σ = 74475180. Its totient is φ = 13240000.

The previous prime is 33100031. The next prime is 33100057. The reversal of 33100040 is 4000133.

It can be written as a sum of positive squares in 2 ways, for example, as 31832164 + 1267876 = 5642^2 + 1126^2 .

It is a super-2 number, since 2×331000402 = 2191225296003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33099994 and 33100030.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 413711 + ... + 413790.

Almost surely, 233100040 is an apocalyptic number.

It is an amenable number.

33100040 is an abundant number, since it is smaller than the sum of its proper divisors (41375140).

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

33100040 is a wasteful number, since it uses less digits than its factorization.

33100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827512 (or 827508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33100040 is about 5753.2634217460. The cubic root of 33100040 is about 321.0772289862.

Adding to 33100040 its reverse (4000133), we get a palindrome (37100173).

The spelling of 33100040 in words is "thirty-three million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 827501 1655002 3310004 4137505 6620008 8275010 16550020 33100040