Search a number
-
+
46057984 = 29771181
BaseRepresentation
bin1010111110110…
…0101000000000
310012122222200021
42233230220000
543242323414
64323103224
71066325560
oct257545000
9105588607
1046057984
1123aa9055
1213511b14
13970805b
14618cda0
15409bc24
hex2beca00

46057984 has 80 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 19353600.

The previous prime is 46057969. The next prime is 46057987. The reversal of 46057984 is 48975064.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46057984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46057987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254374 + ... + 254554.

Almost surely, 246057984 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 46057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

46057984 is an abundant number, since it is smaller than the sum of its proper divisors (61185152).

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

46057984 is an equidigital number, since it uses as much as digits as its factorization.

46057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 46057984 is about 6786.6032740982. The cubic root of 46057984 is about 358.4552742130.

The spelling of 46057984 in words is "forty-six million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 181 224 256 284 362 448 497 512 568 724 896 994 1136 1267 1448 1792 1988 2272 2534 2896 3584 3976 4544 5068 5792 7952 9088 10136 11584 12851 15904 18176 20272 23168 25702 31808 36352 40544 46336 51404 63616 81088 89957 92672 102808 127232 162176 179914 205616 254464 324352 359828 411232 648704 719656 822464 1439312 1644928 2878624 3289856 5757248 6579712 11514496 23028992 46057984