[go: up one dir, main page]

Search a number
-
+
46458666 = 23223293383
BaseRepresentation
bin1011000100111…
…0011100101010
310020102100022100
42301032130222
543343134131
64335434230
71102615002
oct261163452
9106370270
1046458666
11242520a1
1213685976
139818547
146255002
15412a7e6
hex2c4e72a

46458666 has 48 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 14723808.

The previous prime is 46458641. The next prime is 46458673. The reversal of 46458666 is 66685464.

46458666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 121111 + ... + 121493.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 246458666 is an apocalyptic number.

46458666 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46458666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

46458666 is an abundant number, since it is smaller than the sum of its proper divisors (59211990).

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

46458666 is a wasteful number, since it uses less digits than its factorization.

46458666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 46458666 is about 6816.0594187551. The cubic root of 46458666 is about 359.4917364530.

The spelling of 46458666 in words is "forty-six million, four hundred fifty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 293 383 414 586 766 879 1149 1758 2298 2637 3447 5274 6739 6894 8809 13478 17618 20217 26427 40434 52854 60651 79281 112219 121302 158562 224438 336657 673314 1009971 2019942 2581037 5162074 7743111 15486222 23229333 46458666