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46323040 = 255436733
BaseRepresentation
bin1011000010110…
…1010101100000
310020011110021011
42300231111200
543324314130
64332510304
71101511411
oct260552540
9106143234
1046323040
112416a205
121361b394
13979b8aa
14621b808
15410052a
hex2c2d560

46323040 has 48 divisors (see below), whose sum is σ = 111999888. Its totient is φ = 18095616.

The previous prime is 46323037. The next prime is 46323049. The reversal of 46323040 is 4032364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46323049) 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 7 ways as a sum of consecutive naturals, for example, 3514 + ... + 10246.

It is an arithmetic number, because the mean of its divisors is an integer number (2333331).

Almost surely, 246323040 is an apocalyptic number.

46323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55999944).

46323040 is an abundant number, since it is smaller than the sum of its proper divisors (65676848).

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

46323040 is a wasteful number, since it uses less digits than its factorization.

46323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 46323040 is about 6806.1031435029. The cubic root of 46323040 is about 359.1415761051.

The spelling of 46323040 in words is "forty-six million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6733 6880 13466 26932 33665 53864 67330 107728 134660 215456 269320 289519 538640 579038 1077280 1158076 1447595 2316152 2895190 4632304 5790380 9264608 11580760 23161520 46323040