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46084064 = 2513472357
BaseRepresentation
bin1010111111001…
…0111111100000
310012201022110012
42233302333200
543244142224
64323424052
71066464605
oct257627740
9105638405
1046084064
1124016704
1213525028
139716ba0
1461986ac
1540a480e
hex2bf2fe0

46084064 has 48 divisors (see below), whose sum is σ = 99828288. Its totient is φ = 20808192.

The previous prime is 46084043. The next prime is 46084081. The reversal of 46084064 is 46048064.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 46084064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18374 + ... + 20730.

It is an arithmetic number, because the mean of its divisors is an integer number (2079756).

Almost surely, 246084064 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 46084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49914144).

46084064 is an abundant number, since it is smaller than the sum of its proper divisors (53744224).

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

46084064 is a wasteful number, since it uses less digits than its factorization.

46084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 46084064 is about 6788.5244346618. The cubic root of 46084064 is about 358.5229190148.

The spelling of 46084064 in words is "forty-six million, eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2357 2444 4714 4888 9428 9776 18856 19552 30641 37712 61282 75424 110779 122564 221558 245128 443116 490256 886232 980512 1440127 1772464 2880254 3544928 5760508 11521016 23042032 46084064