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46889928 = 23342692
BaseRepresentation
bin1011001011011…
…1101111001000
310021020020220000
42302313233020
544000434203
64353003000
71106362221
oct262675710
9107206800
1046889928
1124517108
1213853460
139939927
146328248
1541b34a3
hex2cb7bc8

46889928 has 60 divisors (see below), whose sum is σ = 131825265. Its totient is φ = 15571872.

The previous prime is 46889923. The next prime is 46889951. The reversal of 46889928 is 82998864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 35070084 + 11819844 = 5922^2 + 3438^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4842.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46889923) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 174178 + ... + 174446.

Almost surely, 246889928 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 46889928

46889928 is an abundant number, since it is smaller than the sum of its proper divisors (84935337).

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

46889928 is an equidigital number, since it uses as much as digits as its factorization.

46889928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 274 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 46889928 is about 6847.6220690105. The cubic root of 46889928 is about 360.6006638951.

The spelling of 46889928 in words is "forty-six million, eight hundred eighty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 269 324 538 648 807 1076 1614 2152 2421 3228 4842 6456 7263 9684 14526 19368 21789 29052 43578 58104 72361 87156 144722 174312 217083 289444 434166 578888 651249 868332 1302498 1736664 1953747 2604996 3907494 5209992 5861241 7814988 11722482 15629976 23444964 46889928