Search a number
-
+
32889040 = 245411113
BaseRepresentation
bin111110101110…
…1100011010000
32021212221021121
41331131203100
531404422130
63132532024
7546360262
oct175354320
967787247
1032889040
1117624028
12b021014
136a76c92
144521b32
152d49d7a
hex1f5d8d0

32889040 has 20 divisors (see below), whose sum is σ = 76467204. Its totient is φ = 13155584.

The previous prime is 32889037. The next prime is 32889053. The reversal of 32889040 is 4098823.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 15649936 = 4152^2 + 3956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 32888987 and 32889005.

It is a congruent number.

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, 205477 + ... + 205636.

Almost surely, 232889040 is an apocalyptic number.

It is an amenable number.

32889040 is an abundant number, since it is smaller than the sum of its proper divisors (43578164).

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

32889040 is a wasteful number, since it uses less digits than its factorization.

32889040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411126 (or 411120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 32889040 is about 5734.8966860790. The cubic root of 32889040 is about 320.3935262716.

The spelling of 32889040 in words is "thirty-two million, eight hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 411113 822226 1644452 2055565 3288904 4111130 6577808 8222260 16444520 32889040