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47938068 = 2235149331
BaseRepresentation
bin1011011011011…
…1101000010100
310100012111200000
42312313220110
544233004233
64431251300
71121316063
oct266675024
9110174600
1047938068
1125072642
1214079b30
139c15a29
14651c1da
15431dd13
hex2db7a14

47938068 has 72 divisors (see below), whose sum is σ = 126890400. Its totient is φ = 15824160.

The previous prime is 47938067. The next prime is 47938097. The reversal of 47938068 is 86083974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47938063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144663 + ... + 144993.

Almost surely, 247938068 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 47938068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63445200).

47938068 is an abundant number, since it is smaller than the sum of its proper divisors (78952332).

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

47938068 is a wasteful number, since it uses less digits than its factorization.

47938068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 47938068 is about 6923.7322305242. The cubic root of 47938068 is about 363.2677486387.

The spelling of 47938068 in words is "forty-seven million, nine hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 331 447 486 596 662 894 972 993 1324 1341 1788 1986 2682 2979 3972 4023 5364 5958 8046 8937 11916 12069 16092 17874 24138 26811 35748 36207 48276 49319 53622 72414 80433 98638 107244 144828 147957 160866 197276 295914 321732 443871 591828 887742 1331613 1775484 2663226 3994839 5326452 7989678 11984517 15979356 23969034 47938068