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48643056 = 243271141107
BaseRepresentation
bin1011100110001…
…1101111110000
310101112022201200
42321203233300
544423034211
64454331200
71130313330
oct271435760
9111468650
1048643056
1125504280
1214359b00
13a101897
1466630c0
15440cb56
hex2e63bf0

48643056 has 240 divisors, whose sum is σ = 175488768. Its totient is φ = 12211200.

The previous prime is 48643037. The next prime is 48643057. The reversal of 48643056 is 65034684.

48643056 is a `hidden beast` number, since 4 + 8 + 643 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×486430562 = 4732293794038272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48643056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48643057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454555 + ... + 454661.

Almost surely, 248643056 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 48643056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

48643056 is an abundant number, since it is smaller than the sum of its proper divisors (126845712).

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

48643056 is a wasteful number, since it uses less digits than its factorization.

48643056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 48643056 is about 6974.4573982497. The cubic root of 48643056 is about 365.0398555340.

The spelling of 48643056 in words is "forty-eight million, six hundred forty-three thousand, fifty-six".