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47898720 = 25325293137
BaseRepresentation
bin1011011010111…
…0000001100000
310100010111200200
42312232001200
544230224340
64430345200
71121063262
oct266560140
9110114620
1047898720
1125046021
121405b200
139c00b4c
14650bb32
154312330
hex2dae060

47898720 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 11612160.

The previous prime is 47898713. The next prime is 47898743. The reversal of 47898720 is 2789874.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294542 + ... + 1294578.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 247898720 is an apocalyptic number.

47898720 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 47898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

47898720 is an abundant number, since it is smaller than the sum of its proper divisors (131364000).

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

47898720 is a wasteful number, since it uses less digits than its factorization.

47898720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 47898720 is about 6920.8901161628. The cubic root of 47898720 is about 363.1683302808.

The spelling of 47898720 in words is "forty-seven million, eight hundred ninety-eight thousand, seven hundred twenty".