Search a number
-
+
46134984 = 2337311883
BaseRepresentation
bin1010111111111…
…1011011001000
310012210220022010
42233333123020
543302304414
64324455520
71100066220
oct257773310
9105726263
1046134984
1124050995
121354a5a0
13973410c
1461ad080
1540b4959
hex2bff6c8

46134984 has 64 divisors (see below), whose sum is σ = 132387840. Its totient is φ = 13124160.

The previous prime is 46134961. The next prime is 46135003. The reversal of 46134984 is 48943164.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51807 + ... + 52689.

It is an arithmetic number, because the mean of its divisors is an integer number (2068560).

Almost surely, 246134984 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 46134984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193920).

46134984 is an abundant number, since it is smaller than the sum of its proper divisors (86252856).

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

46134984 is a wasteful number, since it uses less digits than its factorization.

46134984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 46134984 is about 6792.2738460695. The cubic root of 46134984 is about 358.6549188550.

The spelling of 46134984 in words is "forty-six million, one hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 883 933 1244 1766 1866 2177 2488 2649 3532 3732 4354 5298 6181 6531 7064 7464 8708 10596 12362 13062 17416 18543 21192 24724 26124 37086 49448 52248 74172 148344 274613 549226 823839 1098452 1647678 1922291 2196904 3295356 3844582 5766873 6590712 7689164 11533746 15378328 23067492 46134984