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45977828 = 221323371039
BaseRepresentation
bin1010111101100…
…1000011100100
310012111220201112
42233121003210
543232242303
64321244152
71065543101
oct257310344
9105456645
1045977828
1123a53906
1213493658
1396aa720
14616baa8
1540830d8
hex2bd90e4

45977828 has 48 divisors (see below), whose sum is σ = 92951040. Its totient is φ = 19730304.

The previous prime is 45977807. The next prime is 45977857. The reversal of 45977828 is 82877954.

45977828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459778282 = 4227921335195168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43733 + ... + 44771.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 245977828 is an apocalyptic number.

It is an amenable number.

45977828 is an abundant number, since it is smaller than the sum of its proper divisors (46973212).

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

45977828 is a wasteful number, since it uses less digits than its factorization.

45977828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 45977828 is about 6780.6952445896. The cubic root of 45977828 is about 358.2472102141.

It can be divided in two parts, 459 and 77828, that added together give a palindrome (78287).

The spelling of 45977828 in words is "forty-five million, nine hundred seventy-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 13 23 26 37 46 52 74 92 148 299 481 598 851 962 1039 1196 1702 1924 2078 3404 4156 11063 13507 22126 23897 27014 38443 44252 47794 54028 76886 95588 153772 310661 499759 621322 884189 999518 1242644 1768378 1999036 3536756 11494457 22988914 45977828