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47007006 = 2317227109
BaseRepresentation
bin1011001101010…
…0010100011110
310021110012111020
42303110110132
544013211011
64355305010
71110360444
oct263242436
9107405436
1047007006
1124597072
12138ab166
13997acc7
146358b94
1541d8006
hex2cd451e

47007006 has 24 divisors (see below), whose sum is σ = 99873240. Its totient is φ = 14746752.

The previous prime is 47006977. The next prime is 47007019. The reversal of 47007006 is 60070074.

47007006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×470070062 = 4419317226168072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11821 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (4161385).

Almost surely, 247007006 is an apocalyptic number.

47007006 is an abundant number, since it is smaller than the sum of its proper divisors (52866234).

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

47007006 is a wasteful number, since it uses less digits than its factorization.

47007006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27148 (or 27131 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 47007006 is about 6856.1655464261. The cubic root of 47007006 is about 360.9005386375.

The spelling of 47007006 in words is "forty-seven million, seven thousand, six".

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1734 27109 54218 81327 162654 460853 921706 1382559 2765118 7834501 15669002 23503503 47007006