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47290716 = 2235114423
BaseRepresentation
bin1011010001100…
…1100101011100
310021222121200000
42310121211130
544101300331
64405334300
71112651544
oct264314534
9107877600
1047290716
1124770240
1213a07390
139a4a195
1463d0324
1542420e6
hex2d1995c

47290716 has 72 divisors (see below), whose sum is σ = 135268224. Its totient is φ = 14327280.

The previous prime is 47290709. The next prime is 47290723. The reversal of 47290716 is 61709274.

It is a happy number.

47290716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47290709) and next prime (47290723).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8481 + ... + 12903.

Almost surely, 247290716 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 47290716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67634112).

47290716 is an abundant number, since it is smaller than the sum of its proper divisors (87977508).

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

47290716 is a wasteful number, since it uses less digits than its factorization.

47290716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47290716 is about 6876.8245578901. The cubic root of 47290716 is about 361.6251525140.

The spelling of 47290716 in words is "forty-seven million, two hundred ninety thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 4423 5346 8846 10692 13269 17692 26538 39807 48653 53076 79614 97306 119421 145959 159228 194612 238842 291918 358263 437877 477684 583836 716526 875754 1074789 1313631 1433052 1751508 2149578 2627262 3940893 4299156 5254524 7881786 11822679 15763572 23645358 47290716