Search a number
-
+
46016484 = 223171911181
BaseRepresentation
bin1010111110001…
…0011111100100
310012120212202020
42233202133210
543240011414
64322143140
71066063563
oct257423744
9105525666
1046016484
1123a7a958
12134b1ab0
1396c21b7
14617bbda
15408e7a9
hex2be27e4

46016484 has 48 divisors (see below), whose sum is σ = 114379776. Its totient is φ = 14348800.

The previous prime is 46016459. The next prime is 46016489. The reversal of 46016484 is 48461064.

It is not an unprimeable number, because it can be changed into a prime (46016489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38374 + ... + 39554.

It is an arithmetic number, because the mean of its divisors is an integer number (2382912).

Almost surely, 246016484 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 46016484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57189888).

46016484 is an abundant number, since it is smaller than the sum of its proper divisors (68363292).

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

46016484 is a wasteful number, since it uses less digits than its factorization.

46016484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46016484 is about 6783.5450908798. The cubic root of 46016484 is about 358.3475812375.

The spelling of 46016484 in words is "forty-six million, sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 573 764 1146 1181 2292 2362 3247 3543 4724 6494 7086 9741 12988 14172 19482 20077 38964 40154 60231 80308 120462 225571 240924 451142 676713 902284 1353426 2706852 3834707 7669414 11504121 15338828 23008242 46016484