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47026000 = 245373359
BaseRepresentation
bin1011001101100…
…0111101010000
310021111011112201
42303120331100
544014313000
64355532544
71110500020
oct263307520
9107434481
1047026000
11245aa36a
12138ba154
139986848
146361a80
1541dd96a
hex2cd8f50

47026000 has 80 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 16118400.

The previous prime is 47025997. The next prime is 47026003. The reversal of 47026000 is 62074.

47026000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47025997) and next prime (47026003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×470260002 = 4422889352000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47026003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12321 + ... + 15679.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 247026000 is an apocalyptic number.

47026000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

47026000 is an abundant number, since it is smaller than the sum of its proper divisors (82965680).

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

47026000 is a wasteful number, since it uses less digits than its factorization.

47026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 47026000 is about 6857.5505831164. The cubic root of 47026000 is about 360.9491414759.

Adding to 47026000 its reverse (62074), we get a palindrome (47088074).

The spelling of 47026000 in words is "forty-seven million, twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3359 3500 6718 7000 13436 14000 16795 23513 26872 33590 47026 53744 67180 83975 94052 117565 134360 167950 188104 235130 268720 335900 376208 419875 470260 587825 671800 839750 940520 1175650 1343600 1679500 1881040 2351300 2939125 3359000 4702600 5878250 6718000 9405200 11756500 23513000 47026000