Search a number
-
+
47047392 = 253472593
BaseRepresentation
bin1011001101111…
…0001011100000
310021112020220000
42303132023200
544021004032
64400220000
71110616260
oct263361340
9107466800
1047047392
1124614447
121390a600
1399934c2
1463697a0
1541e4e7c
hex2cde2e0

47047392 has 120 divisors (see below), whose sum is σ = 158192496. Its totient is φ = 13436928.

The previous prime is 47047373. The next prime is 47047393. The reversal of 47047392 is 29374074.

47047392 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).

47047392 is a modest number, since divided by 7392 gives 4704 as remainder.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47047393) 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 19 ways as a sum of consecutive naturals, for example, 16848 + ... + 19440.

Almost surely, 247047392 is an apocalyptic number.

47047392 is a gapful number since it is divisible by the number (42) 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 47047392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79096248).

47047392 is an abundant number, since it is smaller than the sum of its proper divisors (111145104).

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

47047392 is a wasteful number, since it uses less digits than its factorization.

47047392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 47047392 is about 6859.1101463674. The cubic root of 47047392 is about 361.0038647745.

The spelling of 47047392 in words is "forty-seven million, forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 2593 3024 4536 5186 6048 7779 9072 10372 15558 18144 18151 20744 23337 31116 36302 41488 46674 54453 62232 70011 72604 82976 93348 108906 124464 140022 145208 163359 186696 210033 217812 248928 280044 290416 326718 373392 420066 435624 490077 560088 580832 653436 746784 840132 871248 980154 1120176 1306872 1470231 1680264 1742496 1960308 2240352 2613744 2940462 3360528 3920616 5227488 5880924 6721056 7841232 11761848 15682464 23523696 47047392