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47146040 = 23531193197
BaseRepresentation
bin1011001111011…
…0010000111000
310021201021012122
42303312100320
544032133130
64402300412
71111510004
oct263662070
9107637178
1047146040
1124681577
1213957708
1399c9386
146393704
1542142e5
hex2cf6438

47146040 has 64 divisors (see below), whose sum is σ = 110626560. Its totient is φ = 18063360.

The previous prime is 47146039. The next prime is 47146063. The reversal of 47146040 is 4064174.

47146040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 239222 + ... + 239418.

It is an arithmetic number, because the mean of its divisors is an integer number (1728540).

Almost surely, 247146040 is an apocalyptic number.

47146040 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 47146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55313280).

47146040 is an abundant number, since it is smaller than the sum of its proper divisors (63480520).

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

47146040 is a wasteful number, since it uses less digits than its factorization.

47146040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 47146040 is about 6866.2974010743. The cubic root of 47146040 is about 361.2560037795.

The spelling of 47146040 in words is "forty-seven million, one hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 193 197 248 310 386 394 620 772 788 965 985 1240 1544 1576 1930 1970 3860 3940 5983 6107 7720 7880 11966 12214 23932 24428 29915 30535 38021 47864 48856 59830 61070 76042 119660 122140 152084 190105 239320 244280 304168 380210 760420 1178651 1520840 2357302 4714604 5893255 9429208 11786510 23573020 47146040