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47063268 = 223576917
BaseRepresentation
bin1011001110001…
…0000011100100
310021120001200000
42303202003210
544022011033
64400421300
71111013460
oct263420344
9107501600
1047063268
112462536a
1213917830
13999a7b5
1463714a0
1541e9a13
hex2ce20e4

47063268 has 72 divisors (see below), whose sum is σ = 141016512. Its totient is φ = 13444704.

The previous prime is 47063251. The next prime is 47063281. The reversal of 47063268 is 86236074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3346 + ... + 10262.

Almost surely, 247063268 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 47063268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508256).

47063268 is an abundant number, since it is smaller than the sum of its proper divisors (93953244).

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

47063268 is a wasteful number, since it uses less digits than its factorization.

47063268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47063268 is about 6860.2673417295. The cubic root of 47063268 is about 361.0444667616.

The spelling of 47063268 in words is "forty-seven million, sixty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 6917 13834 20751 27668 41502 48419 62253 83004 96838 124506 145257 186759 193676 249012 290514 373518 435771 560277 581028 747036 871542 1120554 1307313 1680831 1743084 2241108 2614626 3361662 3921939 5229252 6723324 7843878 11765817 15687756 23531634 47063268