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47070144 = 263211171923
BaseRepresentation
bin1011001110001…
…1101111000000
310021120102002200
42303203233000
544022221034
64400513200
71111042512
oct263435700
9107512080
1047070144
112462a550
121391b800
1399a0974
146373bb2
1541eba99
hex2ce3bc0

47070144 has 336 divisors, whose sum is σ = 171175680. Its totient is φ = 12165120.

The previous prime is 47070109. The next prime is 47070151. The reversal of 47070144 is 44107074.

47070144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046517 + ... + 2046539.

Almost surely, 247070144 is an apocalyptic number.

47070144 is a gapful number since it is divisible by the number (44) 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 47070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

47070144 is an abundant number, since it is smaller than the sum of its proper divisors (124105536).

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

47070144 is a wasteful number, since it uses less digits than its factorization.

47070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 47070144 is about 6860.7684700768. The cubic root of 47070144 is about 361.0620489155.

The spelling of 47070144 in words is "forty-seven million, seventy thousand, one hundred forty-four".