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47027440 = 24517151229
BaseRepresentation
bin1011001101100…
…1010011110000
310021111020112001
42303121103300
544014334230
64355543344
71110504145
oct263312360
9107436461
1047027440
1124600459
12138bab54
1399873b5
1463623cc
1541de0ca
hex2cd94f0

47027440 has 80 divisors (see below), whose sum is σ = 117046080. Its totient is φ = 17510400.

The previous prime is 47027437. The next prime is 47027503. The reversal of 47027440 is 4472074.

47027440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×470274402 = 4423160225907200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47027399 and 47027408.

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 15 ways as a sum of consecutive naturals, for example, 205246 + ... + 205474.

It is an arithmetic number, because the mean of its divisors is an integer number (1463076).

Almost surely, 247027440 is an apocalyptic number.

47027440 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 47027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58523040).

47027440 is an abundant number, since it is smaller than the sum of its proper divisors (70018640).

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

47027440 is a wasteful number, since it uses less digits than its factorization.

47027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 47027440 is about 6857.6555760697. The cubic root of 47027440 is about 360.9528256893.

The spelling of 47027440 in words is "forty-seven million, twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 229 272 302 340 458 604 680 755 916 1145 1208 1360 1510 1832 2290 2416 2567 3020 3664 3893 4580 5134 6040 7786 9160 10268 12080 12835 15572 18320 19465 20536 25670 31144 34579 38930 41072 51340 62288 69158 77860 102680 138316 155720 172895 205360 276632 311440 345790 553264 587843 691580 1175686 1383160 2351372 2766320 2939215 4702744 5878430 9405488 11756860 23513720 47027440