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47969748 = 223279101167
BaseRepresentation
bin1011011011111…
…1010111010100
310100021010010100
42312333113110
544240012443
64432054100
71121510331
oct266772724
9110233110
1047969748
1125094422
1214094330
139c27288
146529988
1543283d3
hex2dbf5d4

47969748 has 72 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 15537600.

The previous prime is 47969693. The next prime is 47969771. The reversal of 47969748 is 84796974.

It is a happy number.

It is a super-3 number, since 3×479697483 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47969694 and 47969703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287161 + ... + 287327.

It is an arithmetic number, because the mean of its divisors is an integer number (1732640).

Almost surely, 247969748 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 47969748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

47969748 is an abundant number, since it is smaller than the sum of its proper divisors (76780332).

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

47969748 is a wasteful number, since it uses less digits than its factorization.

47969748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 47969748 is about 6926.0196361258. The cubic root of 47969748 is about 363.3477531708.

The spelling of 47969748 in words is "forty-seven million, nine hundred sixty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 101 158 167 202 237 303 316 334 404 474 501 606 668 711 909 948 1002 1212 1422 1503 1818 2004 2844 3006 3636 6012 7979 13193 15958 16867 23937 26386 31916 33734 39579 47874 50601 52772 67468 71811 79158 95748 101202 118737 143622 151803 158316 202404 237474 287244 303606 474948 607212 1332493 2664986 3997479 5329972 7994958 11992437 15989916 23984874 47969748