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47488896 = 2733713151
BaseRepresentation
bin1011010100100…
…1111110000000
310022100200112000
42311021332000
544124121041
64413504000
71114435410
oct265117600
9108320460
1047488896
1124896124
1213aa2000
139ab9450
146442640
154280bb6
hex2d49f80

47488896 has 256 divisors, whose sum is σ = 173644800. Its totient is φ = 12441600.

The previous prime is 47488877. The next prime is 47488897. The reversal of 47488896 is 69888474.

47488896 is a `hidden beast` number, since 474 + 8 + 88 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47488897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314421 + ... + 314571.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 247488896 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 47488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822400).

47488896 is an abundant number, since it is smaller than the sum of its proper divisors (126155904).

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

47488896 is a wasteful number, since it uses less digits than its factorization.

47488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 47488896 is about 6891.2187601323. The cubic root of 47488896 is about 362.1295996187.

It can be divided in two parts, 47488 and 896, that added together give a palindrome (48384).

The spelling of 47488896 in words is "forty-seven million, four hundred eighty-eight thousand, eight hundred ninety-six".