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45506670 = 23511373727
BaseRepresentation
bin1010110110011…
…0000001101110
310011121222102020
42231212001232
543122203140
64303211010
71061541336
oct255460156
9104558366
1045506670
1123761920
12132a6a66
139574131
1460880c6
153edd6d0
hex2b6606e

45506670 has 64 divisors (see below), whose sum is σ = 122397696. Its totient is φ = 10730880.

The previous prime is 45506663. The next prime is 45506717. The reversal of 45506670 is 7660554.

45506670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 10347 + ... + 14073.

It is an arithmetic number, because the mean of its divisors is an integer number (1912464).

Almost surely, 245506670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45506670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61198848).

45506670 is an abundant number, since it is smaller than the sum of its proper divisors (76891026).

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

45506670 is a wasteful number, since it uses less digits than its factorization.

45506670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 45506670 is about 6745.8631767921. The cubic root of 45506670 is about 357.0192929495.

The spelling of 45506670 in words is "forty-five million, five hundred six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 3727 4070 6105 7454 11181 12210 18635 22362 37270 40997 55905 81994 111810 122991 137899 204985 245982 275798 409970 413697 614955 689495 827394 1229910 1378990 1516889 2068485 3033778 4136970 4550667 7584445 9101334 15168890 22753335 45506670