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4700064 = 253173283
BaseRepresentation
bin10001111011011110100000
322211210021110
4101323132200
52200400224
6244423320
754643545
oct21733640
98753243
104700064
112720256
1216a7b40
13c87405
148a4bcc
1562c929
hex47b7a0

4700064 has 48 divisors (see below), whose sum is σ = 12452832. Its totient is φ = 1552128.

The previous prime is 4700063. The next prime is 4700071. The reversal of 4700064 is 4600074.

4700064 is digitally balanced in base 4, 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4700064.

It is not an unprimeable number, because it can be changed into a prime (4700063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16467 + ... + 16749.

It is an arithmetic number, because the mean of its divisors is an integer number (259434).

Almost surely, 24700064 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 4700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226416).

4700064 is an abundant number, since it is smaller than the sum of its proper divisors (7752768).

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

4700064 is a wasteful number, since it uses less digits than its factorization.

4700064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

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

The square root of 4700064 is about 2167.9630993170. The cubic root of 4700064 is about 167.5076286716.

The spelling of 4700064 in words is "four million, seven hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 283 346 519 566 692 849 1038 1132 1384 1698 2076 2264 2768 3396 4152 4528 5536 6792 8304 9056 13584 16608 27168 48959 97918 146877 195836 293754 391672 587508 783344 1175016 1566688 2350032 4700064