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47880000 = 263254719
BaseRepresentation
bin1011011010100…
…1011101000000
310100002120000100
42312221131000
544224130000
64430122400
71120654560
oct266513500
9110076010
1047880000
1125032a53
1214050400
139bc547c
146504da0
15430ba00
hex2da9740

47880000 has 420 divisors, whose sum is σ = 206308960. Its totient is φ = 10368000.

The previous prime is 47879989. The next prime is 47880011. The reversal of 47880000 is 8874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47879989) and next prime (47880011).

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519991 + ... + 2520009.

Almost surely, 247880000 is an apocalyptic number.

47880000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103154480).

47880000 is an abundant number, since it is smaller than the sum of its proper divisors (158428960).

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

47880000 is a wasteful number, since it uses less digits than its factorization.

47880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47880000 is about 6919.5375568025. The cubic root of 47880000 is about 363.1210124053.

Adding to 47880000 its reverse (8874), we get a palindrome (47888874).

The spelling of 47880000 in words is "forty-seven million, eight hundred eighty thousand".