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47453940 = 22325436131
BaseRepresentation
bin1011010100000…
…1011011110100
310022021220120100
42311001123310
544122011230
64413034100
71114231452
oct265013364
9108256510
1047453940
1124871936
1213a85930
139aa6571
1464339d2
154275660
hex2d416f4

47453940 has 72 divisors (see below), whose sum is σ = 147315168. Its totient is φ = 12358080.

The previous prime is 47453929. The next prime is 47453969. The reversal of 47453940 is 4935474.

47453940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47453895 and 47453904.

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 23 ways as a sum of consecutive naturals, for example, 4675 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 247453940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47453940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73657584).

47453940 is an abundant number, since it is smaller than the sum of its proper divisors (99861228).

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

47453940 is a wasteful number, since it uses less digits than its factorization.

47453940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 47453940 is about 6888.6820219836. The cubic root of 47453940 is about 362.0407247408.

The spelling of 47453940 in words is "forty-seven million, four hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 6131 7740 12262 18393 24524 30655 36786 55179 61310 73572 91965 110358 122620 183930 220716 263633 275895 367860 527266 551790 790899 1054532 1103580 1318165 1581798 2372697 2636330 3163596 3954495 4745394 5272660 7908990 9490788 11863485 15817980 23726970 47453940