Search a number
-
+
46263440 = 2453491657
BaseRepresentation
bin1011000001111…
…0110010010000
310020001102111202
42300132302100
543320412230
64331330332
71101142556
oct260366220
9106042452
1046263440
1124129453
12135b09a8
13977a722
146203bd6
1540dca45
hex2c1ec90

46263440 has 40 divisors (see below), whose sum is σ = 107935800. Its totient is φ = 18441216.

The previous prime is 46263421. The next prime is 46263449. The reversal of 46263440 is 4436264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 40806544 = 2336^2 + 6388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (46263449) 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, 27092 + ... + 28748.

It is an arithmetic number, because the mean of its divisors is an integer number (2698395).

Almost surely, 246263440 is an apocalyptic number.

46263440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46263440 is an abundant number, since it is smaller than the sum of its proper divisors (61672360).

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

46263440 is a wasteful number, since it uses less digits than its factorization.

46263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 46263440 is about 6801.7233110440. The cubic root of 46263440 is about 358.9874841425.

Adding to 46263440 its product of nonzero digits (13824), we get a palindrome (46277264).

The spelling of 46263440 in words is "forty-six million, two hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1657 1745 2792 3314 3490 5584 6628 6980 8285 13256 13960 16570 26512 27920 33140 66280 132560 578293 1156586 2313172 2891465 4626344 5782930 9252688 11565860 23131720 46263440