Search a number
-
+
47431384 = 23711135923
BaseRepresentation
bin1011010011101…
…1111011011000
310022020202121221
42310323323120
544120301014
64412341424
71114105630
oct264737330
9108222557
1047431384
11248569a0
1213a74874
139a99210
1464296c0
15426db24
hex2d3bed8

47431384 has 64 divisors (see below), whose sum is σ = 119427840. Its totient is φ = 17055360.

The previous prime is 47431381. The next prime is 47431399. The reversal of 47431384 is 48313474.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47431381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047 + ... + 10969.

It is an arithmetic number, because the mean of its divisors is an integer number (1866060).

Almost surely, 247431384 is an apocalyptic number.

47431384 is a gapful number since it is divisible by the number (44) 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 47431384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59713920).

47431384 is an abundant number, since it is smaller than the sum of its proper divisors (71996456).

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

47431384 is a wasteful number, since it uses less digits than its factorization.

47431384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5956 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 47431384 is about 6887.0446491946. The cubic root of 47431384 is about 361.9833534260.

The spelling of 47431384 in words is "forty-seven million, four hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 5923 8008 11846 23692 41461 47384 65153 76999 82922 130306 153998 165844 260612 307996 331688 456071 521224 538993 615992 846989 912142 1077986 1693978 1824284 2155972 3387956 3648568 4311944 5928923 6775912 11857846 23715692 47431384