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47064000 = 263533753
BaseRepresentation
bin1011001110001…
…0001111000000
310021120002200010
42303202033000
544022022000
64400424520
71111015554
oct263421700
9107502603
1047064000
1124625975
1213918140
13999ac29
146371864
1541e9d50
hex2ce23c0

47064000 has 224 divisors, whose sum is σ = 162616896. Its totient is φ = 11980800.

The previous prime is 47063993. The next prime is 47064067. The reversal of 47064000 is 46074.

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 31 ways as a sum of consecutive naturals, for example, 887974 + ... + 888026.

Almost surely, 247064000 is an apocalyptic number.

47064000 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 47064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81308448).

47064000 is an abundant number, since it is smaller than the sum of its proper divisors (115552896).

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

47064000 is a wasteful number, since it uses less digits than its factorization.

47064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 47064000 is about 6860.3206922126. The cubic root of 47064000 is about 361.0463385906.

The spelling of 47064000 in words is "forty-seven million, sixty-four thousand".