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46680928 = 25734253
BaseRepresentation
bin1011001000010…
…0101101100000
310020211122012021
42302010231200
543422242203
64344311224
71104532000
oct262045540
9106748167
1046680928
1124394088
1213772514
139895768
1462b2000
1541715bd
hex2c84b60

46680928 has 48 divisors (see below), whose sum is σ = 107200800. Its totient is φ = 20001408.

The previous prime is 46680913. The next prime is 46680941. The reversal of 46680928 is 82908664.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8850 + ... + 13102.

It is an arithmetic number, because the mean of its divisors is an integer number (2233350).

Almost surely, 246680928 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 46680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53600400).

46680928 is an abundant number, since it is smaller than the sum of its proper divisors (60519872).

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

46680928 is an equidigital number, since it uses as much as digits as its factorization.

46680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 46680928 is about 6832.3442536219. The cubic root of 46680928 is about 360.0641038109.

The spelling of 46680928 in words is "forty-six million, six hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 4253 5488 8506 10976 17012 29771 34024 59542 68048 119084 136096 208397 238168 416794 476336 833588 952672 1458779 1667176 2917558 3334352 5835116 6668704 11670232 23340464 46680928