Search a number
-
+
46056576 = 273315373
BaseRepresentation
bin1010111110110…
…0010010000000
310012122220202010
42233230102000
543242302301
64323052520
71066321506
oct257542200
9105586663
1046056576
1123aa7a95
1213511140
139707517
14618c676
15409b5d6
hex2bec480

46056576 has 128 divisors (see below), whose sum is σ = 130429440. Its totient is φ = 14376960.

The previous prime is 46056559. The next prime is 46056581. The reversal of 46056576 is 67565064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 630876 + ... + 630948.

It is an arithmetic number, because the mean of its divisors is an integer number (1018980).

Almost surely, 246056576 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 46056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65214720).

46056576 is an abundant number, since it is smaller than the sum of its proper divisors (84372864).

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

46056576 is a wasteful number, since it uses less digits than its factorization.

46056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 46056576 is about 6786.4995395270. The cubic root of 46056576 is about 358.4516214973.

The spelling of 46056576 in words is "forty-six million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 73 93 96 106 124 128 146 159 186 192 212 219 248 292 318 372 384 424 438 496 584 636 744 848 876 992 1168 1272 1488 1643 1696 1752 1984 2263 2336 2544 2976 3286 3392 3504 3869 3968 4526 4672 4929 5088 5952 6572 6784 6789 7008 7738 9052 9344 9858 10176 11607 11904 13144 13578 14016 15476 18104 19716 20352 23214 26288 27156 28032 30952 36208 39432 46428 52576 54312 61904 72416 78864 92856 105152 108624 119939 123808 144832 157728 185712 210304 217248 239878 247616 289664 315456 359817 371424 434496 479756 495232 630912 719634 742848 868992 959512 1439268 1485696 1919024 2878536 3838048 5757072 7676096 11514144 15352192 23028288 46056576