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47384064 = 2932713113
BaseRepresentation
bin1011010011000…
…0011000000000
310022011100201100
42310300120000
544112242224
64411334400
71113520650
oct264603000
9108140640
1047384064
1124824392
1213a51400
139a80810
146416360
15425eac9
hex2d30600

47384064 has 240 divisors, whose sum is σ = 169801632. Its totient is φ = 12386304.

The previous prime is 47384063. The next prime is 47384093. The reversal of 47384064 is 46048374.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47384063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419272 + ... + 419384.

Almost surely, 247384064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

47384064 is an abundant number, since it is smaller than the sum of its proper divisors (122417568).

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

47384064 is a wasteful number, since it uses less digits than its factorization.

47384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47384064 is about 6883.6083560877. The cubic root of 47384064 is about 361.8629356050.

The spelling of 47384064 in words is "forty-seven million, three hundred eighty-four thousand, sixty-four".