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46020864 = 283311933
BaseRepresentation
bin1010111110001…
…1100100000000
310012121002202110
42233203210000
543240131424
64322215320
71066112421
oct257434400
9105532673
1046020864
1123a8317a
12134b4540
1396c41a6
14617d648
154090c29
hex2be3900

46020864 has 72 divisors (see below), whose sum is σ = 126499072. Its totient is φ = 14837760.

The previous prime is 46020857. The next prime is 46020881. The reversal of 46020864 is 46802064.

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 7 ways as a sum of consecutive naturals, for example, 22842 + ... + 24774.

Almost surely, 246020864 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 46020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249536).

46020864 is an abundant number, since it is smaller than the sum of its proper divisors (80478208).

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

46020864 is a wasteful number, since it uses less digits than its factorization.

46020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 46020864 is about 6783.8679232426. The cubic root of 46020864 is about 358.3589504431.

The spelling of 46020864 in words is "forty-six million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1933 1984 2976 3866 3968 5799 5952 7732 7936 11598 11904 15464 23196 23808 30928 46392 59923 61856 92784 119846 123712 179769 185568 239692 247424 359538 371136 479384 494848 719076 742272 958768 1438152 1484544 1917536 2876304 3835072 5752608 7670144 11505216 15340288 23010432 46020864