Search a number
-
+
47425860 = 22325377121
BaseRepresentation
bin1011010011101…
…0100101000100
310022020111001100
42310322211010
544120111420
64412300100
71114053546
oct264724504
9108214040
1047425860
1124852829
1213a71630
139a96851
146427696
15426c190
hex2d3a944

47425860 has 72 divisors (see below), whose sum is σ = 147767256. Its totient is φ = 12303360.

The previous prime is 47425841. The next prime is 47425891. The reversal of 47425860 is 6852474.

47425860 is a `hidden beast` number, since 4 + 74 + 2 + 586 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 44916804 = 1584^2 + 6702^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100 + ... + 10220.

It is an arithmetic number, because the mean of its divisors is an integer number (2052323).

Almost surely, 247425860 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 47425860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73883628).

47425860 is an abundant number, since it is smaller than the sum of its proper divisors (100341396).

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

47425860 is a wasteful number, since it uses less digits than its factorization.

47425860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7173 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 47425860 is about 6886.6435946693. The cubic root of 47425860 is about 361.9693003279.

The spelling of 47425860 in words is "forty-seven million, four hundred twenty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 7121 14242 21363 28484 35605 42726 64089 71210 85452 106815 128178 142420 213630 256356 263477 320445 427260 526954 640890 790431 1053908 1281780 1317385 1580862 2371293 2634770 3161724 3952155 4742586 5269540 7904310 9485172 11856465 15808620 23712930 47425860