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47934096 = 2437331431
BaseRepresentation
bin1011011011011…
…0101010010000
310100012022012220
42312312222100
544232342341
64431221040
71121301360
oct266665220
9110168186
1047934096
112506a661
1214077780
139c13c92
14651a9a0
15431ca66
hex2db6a90

47934096 has 80 divisors (see below), whose sum is σ = 142276608. Its totient is φ = 13622400.

The previous prime is 47934083. The next prime is 47934127. The reversal of 47934096 is 69043974.

47934096 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 (42).

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 15 ways as a sum of consecutive naturals, for example, 111001 + ... + 111431.

Almost surely, 247934096 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 47934096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71138304).

47934096 is an abundant number, since it is smaller than the sum of its proper divisors (94342512).

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

47934096 is a wasteful number, since it uses less digits than its factorization.

47934096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 47934096 is about 6923.4453850666. The cubic root of 47934096 is about 363.2577152810.

The spelling of 47934096 in words is "forty-seven million, nine hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 431 662 862 993 1293 1324 1724 1986 2317 2586 2648 3017 3448 3972 4634 5172 5296 6034 6896 6951 7944 9051 9268 10344 12068 13902 15888 18102 18536 20688 24136 27804 36204 37072 48272 55608 72408 111216 142661 144816 285322 427983 570644 855966 998627 1141288 1711932 1997254 2282576 2995881 3423864 3994508 5991762 6847728 7989016 11983524 15978032 23967048 47934096