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47768040 = 23325132689
BaseRepresentation
bin1011011000111…
…0000111101000
310022212212102200
42312032013220
544212034130
64423500200
71120010265
oct266160750
9108785380
1047768040
1124a66921
1213bb7660
139b86518
1464b626c
1542d8760
hex2d8e1e8

47768040 has 48 divisors (see below), whose sum is σ = 155247300. Its totient is φ = 12738048.

The previous prime is 47768009. The next prime is 47768047. The reversal of 47768040 is 4086774.

It is a happy number.

47768040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41447844 + 6320196 = 6438^2 + 2514^2 .

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 = 47767986 and 47768004.

It is not an unprimeable number, because it can be changed into a prime (47768047) 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 11 ways as a sum of consecutive naturals, for example, 65985 + ... + 66704.

Almost surely, 247768040 is an apocalyptic number.

47768040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47768040 is an abundant number, since it is smaller than the sum of its proper divisors (107479260).

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

47768040 is a wasteful number, since it uses less digits than its factorization.

47768040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132706 (or 132699 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47768040 is about 6911.4426858652. The cubic root of 47768040 is about 362.8377573351.

The spelling of 47768040 in words is "forty-seven million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 132689 265378 398067 530756 663445 796134 1061512 1194201 1326890 1592268 1990335 2388402 2653780 3184536 3980670 4776804 5307560 5971005 7961340 9553608 11942010 15922680 23884020 47768040