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47225772 = 223211313847
BaseRepresentation
bin1011010000100…
…1101110101100
310021212022120200
42310021232230
544042211042
64404113500
71112261316
oct264115654
9107768520
1047225772
1124726470
1213995890
139a26759
1463b47b6
15422cc4c
hex2d09bac

47225772 has 72 divisors (see below), whose sum is σ = 134464512. Its totient is φ = 13845600.

The previous prime is 47225747. The next prime is 47225807. The reversal of 47225772 is 27752274.

47225772 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).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10353 + ... + 14199.

Almost surely, 247225772 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 47225772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67232256).

47225772 is an abundant number, since it is smaller than the sum of its proper divisors (87238740).

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

47225772 is a wasteful number, since it uses less digits than its factorization.

47225772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3894 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 47225772 is about 6872.1009887807. The cubic root of 47225772 is about 361.4595376049.

It can be divided in two parts, 472 and 25772, that added together give a square (26244 = 1622).

The spelling of 47225772 in words is "forty-seven million, two hundred twenty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 3847 4092 6138 7694 11541 12276 15388 23082 34623 42317 46164 69246 84634 119257 126951 138492 169268 238514 253902 357771 380853 477028 507804 715542 761706 1073313 1311827 1431084 1523412 2146626 2623654 3935481 4293252 5247308 7870962 11806443 15741924 23612886 47225772