Search a number
-
+
33801425 = 527241673
BaseRepresentation
bin1000000011110…
…0010011010001
32100121021211122
42000330103101
532123121200
63204252025
7560210300
oct200742321
970537748
1033801425
1118097569
12b3a1015
137006358
1446bc437
152e7a385
hex203c4d1

33801425 has 36 divisors (see below), whose sum is σ = 50020236. Its totient is φ = 22579200.

The previous prime is 33801419. The next prime is 33801463. The reversal of 33801425 is 52410833.

33801425 = T1150 + T1151 + ... + T1198.

It can be written as a sum of positive squares in 6 ways, for example, as 8116801 + 25684624 = 2849^2 + 5068^2 .

It is not a de Polignac number, because 33801425 - 214 = 33785041 is a prime.

It is a super-2 number, since 2×338014252 = 2285072664061250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33801394 and 33801403.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49889 + ... + 50561.

It is an arithmetic number, because the mean of its divisors is an integer number (1389451).

Almost surely, 233801425 is an apocalyptic number.

33801425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33801425 is a deficient number, since it is larger than the sum of its proper divisors (16218811).

33801425 is a wasteful number, since it uses less digits than its factorization.

33801425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 33801425 is about 5813.8992939335. The cubic root of 33801425 is about 323.3292562162.

The spelling of 33801425 in words is "thirty-three million, eight hundred one thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 245 287 673 1025 1225 1435 2009 3365 4711 7175 10045 16825 23555 27593 32977 50225 117775 137965 164885 193151 689825 824425 965755 1352057 4828775 6760285 33801425