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47025006 = 2372592711
BaseRepresentation
bin1011001101100…
…0101101101110
310021111010011220
42303120231232
544014300011
64355524210
71110464100
oct263305556
9107433156
1047025006
11245a9646
12138b9666
139986262
146361570
1541dd506
hex2cd8b6e

47025006 has 48 divisors (see below), whose sum is σ = 111300480. Its totient is φ = 13203120.

The previous prime is 47024969. The next prime is 47025007. The reversal of 47025006 is 60052074.

It is a happy number.

It is a super-2 number, since 2×470250062 = 4422702378600072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47025007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15991 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (2318760).

Almost surely, 247025006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47025006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55650240).

47025006 is an abundant number, since it is smaller than the sum of its proper divisors (64275474).

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

47025006 is a wasteful number, since it uses less digits than its factorization.

47025006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 47025006 is about 6857.4781078761. The cubic root of 47025006 is about 360.9465983014.

The spelling of 47025006 in words is "forty-seven million, twenty-five thousand, six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1239 2478 2711 2891 5422 5782 8133 8673 16266 17346 18977 37954 56931 113862 132839 159949 265678 319898 398517 479847 797034 959694 1119643 2239286 3358929 6717858 7837501 15675002 23512503 47025006