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45822816 = 25321312239
BaseRepresentation
bin1010111011001…
…1001101100000
310012020001002100
42232303031200
543212312231
64314050400
71064326134
oct256631540
9105201070
1045822816
11239583a6
1213419a00
139654cc0
14612b3c4
1540521e6
hex2bb3360

45822816 has 72 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 14098176.

The previous prime is 45822809. The next prime is 45822823. The reversal of 45822816 is 61822854.

45822816 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 (45822809) and next prime (45822823).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2376 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 245822816 is an apocalyptic number.

It is an amenable number.

45822816 is an abundant number, since it is smaller than the sum of its proper divisors (94521024).

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

45822816 is a wasteful number, since it uses less digits than its factorization.

45822816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12257 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 45822816 is about 6769.2552027531. The cubic root of 45822816 is about 357.8441525910.

The spelling of 45822816 in words is "forty-five million, eight hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 12239 24478 36717 48956 73434 97912 110151 146868 159107 195824 220302 293736 318214 391648 440604 477321 587472 636428 881208 954642 1174944 1272856 1431963 1762416 1909284 2545712 2863926 3524832 3818568 5091424 5727852 7637136 11455704 15274272 22911408 45822816