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47044032 = 2637172971
BaseRepresentation
bin1011001101110…
…1010111000000
310021112002021120
42303131113000
544020402112
64400152240
71110603420
oct263352700
9107462246
1047044032
1124611972
1213908680
139991b09
146368480
1541e3e8c
hex2cdd5c0

47044032 has 224 divisors, whose sum is σ = 158008320. Its totient is φ = 12042240.

The previous prime is 47044013. The next prime is 47044069. The reversal of 47044032 is 23044074.

47044032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 47043993 and 47044011.

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 31 ways as a sum of consecutive naturals, for example, 662557 + ... + 662627.

Almost surely, 247044032 is an apocalyptic number.

47044032 is a gapful number since it is divisible by the number (42) 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 47044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

47044032 is an abundant number, since it is smaller than the sum of its proper divisors (110964288).

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

47044032 is a wasteful number, since it uses less digits than its factorization.

47044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 47044032 is about 6858.8652122636. The cubic root of 47044032 is about 360.9952705903.

The spelling of 47044032 in words is "forty-seven million, forty-four thousand, thirty-two".