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45878844 = 223112191663
BaseRepresentation
bin1010111100000…
…0111000111100
310012022212221110
42233000320330
543221110334
64315202020
71064651364
oct257007074
9105285843
1045878844
1123996500
1213446310
13967465b
1461439a4
154063ae9
hex2bc0e3c

45878844 has 72 divisors (see below), whose sum is σ = 123934720. Its totient is φ = 13163040.

The previous prime is 45878839. The next prime is 45878849. The reversal of 45878844 is 44887854.

45878844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45878839) and next prime (45878849).

It is a junction number, because it is equal to n+sod(n) for n = 45878793 and 45878802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45878849) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26757 + ... + 28419.

Almost surely, 245878844 is an apocalyptic number.

45878844 is a gapful number since it is divisible by the number (44) 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 45878844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61967360).

45878844 is an abundant number, since it is smaller than the sum of its proper divisors (78055876).

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

45878844 is a wasteful number, since it uses less digits than its factorization.

45878844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1698 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 45878844 is about 6773.3923553859. The cubic root of 45878844 is about 357.9899396900.

It can be divided in two parts, 4587 and 8844, that added together give a palindrome (13431).

The spelling of 45878844 in words is "forty-five million, eight hundred seventy-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 1254 1452 1663 2299 2508 3326 4598 4989 6652 6897 9196 9978 13794 18293 19956 27588 31597 36586 54879 63194 73172 94791 109758 126388 189582 201223 219516 347567 379164 402446 603669 695134 804892 1042701 1207338 1390268 2085402 2414676 3823237 4170804 7646474 11469711 15292948 22939422 45878844