Search a number
-
+
47223264 = 25311197227
BaseRepresentation
bin1011010000100…
…1000111100000
310021212012010210
42310021013200
544042121024
64404054120
71112251104
oct264110740
9107765123
1047223264
11247245a0
1213994340
139a2557a
1463b3904
15422c129
hex2d091e0

47223264 has 96 divisors (see below), whose sum is σ = 136515456. Its totient is φ = 14174720.

The previous prime is 47223259. The next prime is 47223367. The reversal of 47223264 is 46232274.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (16128) is a multiple of the sum of its prime factors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207919 + ... + 208145.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 247223264 is an apocalyptic number.

47223264 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 47223264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68257728).

47223264 is an abundant number, since it is smaller than the sum of its proper divisors (89292192).

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

47223264 is a wasteful number, since it uses less digits than its factorization.

47223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 47223264 is about 6871.9185094121. The cubic root of 47223264 is about 361.4531388631.

The spelling of 47223264 in words is "forty-seven million, two hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 197 227 264 352 394 454 528 591 681 788 908 1056 1182 1362 1576 1816 2167 2364 2497 2724 3152 3632 4334 4728 4994 5448 6304 6501 7264 7491 8668 9456 9988 10896 13002 14982 17336 18912 19976 21792 26004 29964 34672 39952 44719 52008 59928 69344 79904 89438 104016 119856 134157 178876 208032 239712 268314 357752 491909 536628 715504 983818 1073256 1431008 1475727 1967636 2146512 2951454 3935272 4293024 5902908 7870544 11805816 15741088 23611632 47223264