Search a number
-
+
47966004 = 22321332389
BaseRepresentation
bin1011011011111…
…0011100110100
310100020220222200
42312332130310
544234403004
64432024500
71121463402
oct266763464
9110226880
1047966004
1125091629
1214092130
139c25668
146528472
154327239
hex2dbe734

47966004 has 18 divisors (see below), whose sum is σ = 121247490. Its totient is φ = 15988656.

The previous prime is 47966003. The next prime is 47966041. The reversal of 47966004 is 40066974.

47966004 is a `hidden beast` number, since 47 + 9 + 6 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41216400 + 6749604 = 6420^2 + 2598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1332389 = 47966004 / (4 + 7 + 9 + 6 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 47966004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47966003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666159 + ... + 666230.

Almost surely, 247966004 is an apocalyptic number.

It is an amenable number.

47966004 is an abundant number, since it is smaller than the sum of its proper divisors (73281486).

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

47966004 is a wasteful number, since it uses less digits than its factorization.

47966004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332399 (or 1332394 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 47966004 is about 6925.7493457387. The cubic root of 47966004 is about 363.3382999256.

The spelling of 47966004 in words is "forty-seven million, nine hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1332389 2664778 3997167 5329556 7994334 11991501 15988668 23983002 47966004