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46097568 = 25321114551
BaseRepresentation
bin1010111111011…
…0010010100000
310012201222222100
42233312102200
543300110233
64324010400
71066552146
oct257662240
9105658870
1046097568
1124025870
1213530a00
13972008a
14619d596
1540a8813
hex2bf64a0

46097568 has 72 divisors (see below), whose sum is σ = 143017056. Its totient is φ = 13968000.

The previous prime is 46097567. The next prime is 46097581. The reversal of 46097568 is 86579064.

46097568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (46097567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4108 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (1986348).

Almost surely, 246097568 is an apocalyptic number.

46097568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46097568 is an abundant number, since it is smaller than the sum of its proper divisors (96919488).

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

46097568 is a wasteful number, since it uses less digits than its factorization.

46097568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46097568 is about 6789.5189814890. The cubic root of 46097568 is about 358.5579348840.

It can be divided in two parts, 46097 and 568, that added together give a triangular number (46665 = T305).

The spelling of 46097568 in words is "forty-six million, ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 14551 29102 43653 58204 87306 116408 130959 160061 174612 232816 261918 320122 349224 465632 480183 523836 640244 698448 960366 1047672 1280488 1396896 1440549 1920732 2095344 2560976 2881098 3841464 4190688 5121952 5762196 7682928 11524392 15365856 23048784 46097568