Search a number
-
+
47469960 = 23325131861
BaseRepresentation
bin1011010100010…
…1010110001000
310022022201112200
42311011112020
544123014320
64413240200
71114326246
oct265052610
9108281480
1047469960
112488297a
1213a93060
139ab0945
146439796
15427a290
hex2d45588

47469960 has 48 divisors (see below), whose sum is σ = 154278540. Its totient is φ = 12658560.

The previous prime is 47469949. The next prime is 47469971. The reversal of 47469960 is 6996474.

It is an interprime number because it is at equal distance from previous prime (47469949) and next prime (47469971).

It can be written as a sum of positive squares in 2 ways, for example, as 41447844 + 6022116 = 6438^2 + 2454^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65571 + ... + 66290.

Almost surely, 247469960 is an apocalyptic number.

47469960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47469960 is an abundant number, since it is smaller than the sum of its proper divisors (106808580).

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

47469960 is a wasteful number, since it uses less digits than its factorization.

47469960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131878 (or 131871 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 47469960 is about 6889.8447007171. The cubic root of 47469960 is about 362.0814606619.

It can be divided in two parts, 4746 and 9960, that added together give a triangular number (14706 = T171).

The spelling of 47469960 in words is "forty-seven million, four hundred sixty-nine thousand, nine hundred sixty".

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 131861 263722 395583 527444 659305 791166 1054888 1186749 1318610 1582332 1977915 2373498 2637220 3164664 3955830 4746996 5274440 5933745 7911660 9493992 11867490 15823320 23734980 47469960