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46896768 = 273240709
BaseRepresentation
bin1011001011100…
…1011010000000
310021020121021100
42302321122000
544001144033
64353054400
71106421162
oct262713200
9107217240
1046896768
1124521266
1213857400
13993ca89
14632a932
1541b5513
hex2cb9680

46896768 has 48 divisors (see below), whose sum is σ = 134953650. Its totient is φ = 15631872.

The previous prime is 46896767. The next prime is 46896781. The reversal of 46896768 is 86769864.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 3968064 = 6552^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (46896763) 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 5 ways as a sum of consecutive naturals, for example, 19203 + ... + 21506.

Almost surely, 246896768 is an apocalyptic number.

46896768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46896768 is an abundant number, since it is smaller than the sum of its proper divisors (88056882).

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

46896768 is a wasteful number, since it uses less digits than its factorization.

46896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40729 (or 40714 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 46896768 is about 6848.1214942494. The cubic root of 46896768 is about 360.6181970749.

The spelling of 46896768 in words is "forty-six million, eight hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 40709 81418 122127 162836 244254 325672 366381 488508 651344 732762 977016 1302688 1465524 1954032 2605376 2931048 3908064 5210752 5862096 7816128 11724192 15632256 23448384 46896768