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45916620 = 22351017577
BaseRepresentation
bin1010111100101…
…0000111001100
310012101210202120
42233022013030
543223312440
64320052540
71065166461
oct257120714
9105353676
1045916620
1123a11922
1213464150
1396888c9
146153668
15406edd0
hex2bca1cc

45916620 has 48 divisors (see below), whose sum is σ = 129856608. Its totient is φ = 12121600.

The previous prime is 45916601. The next prime is 45916621. The reversal of 45916620 is 2661954.

45916620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45916621) 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 15 ways as a sum of consecutive naturals, for example, 2272 + ... + 9848.

It is an arithmetic number, because the mean of its divisors is an integer number (2705346).

Almost surely, 245916620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45916620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64928304).

45916620 is an abundant number, since it is smaller than the sum of its proper divisors (83939988).

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

45916620 is a wasteful number, since it uses less digits than its factorization.

45916620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 45916620 is about 6776.1803399851. The cubic root of 45916620 is about 358.0881673756.

It can be divided in two parts, 4591 and 6620, that added together give a palindrome (11211).

The spelling of 45916620 in words is "forty-five million, nine hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 7577 15154 22731 30308 37885 45462 75770 90924 113655 151540 227310 454620 765277 1530554 2295831 3061108 3826385 4591662 7652770 9183324 11479155 15305540 22958310 45916620