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47985696 = 253611217
BaseRepresentation
bin1011011100001…
…1010000100000
310100021221000000
42313003100200
544241020241
64432300000
71121604663
oct267032040
9110257000
1047985696
11250a5400
12140a1600
139c31605
1465316da
15432ceb6
hex2dc3420

47985696 has 252 divisors, whose sum is σ = 164848446. Its totient is φ = 13685760.

The previous prime is 47985689. The next prime is 47985701. The reversal of 47985696 is 69658974.

47985696 is a `hidden beast` number, since 4 + 79 + 8 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 12702096 = 5940^2 + 3564^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2822680 + ... + 2822696.

Almost surely, 247985696 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 47985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424223).

47985696 is an abundant number, since it is smaller than the sum of its proper divisors (116862750).

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

47985696 is a wasteful number, since it uses less digits than its factorization.

47985696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 47985696 is about 6927.1708510762. The cubic root of 47985696 is about 363.3880148508.

The spelling of 47985696 in words is "forty-seven million, nine hundred eighty-five thousand, six hundred ninety-six".