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45376506 = 23271133187
BaseRepresentation
bin1010110100011…
…0001111111010
310011101100212100
42231012033322
543104022011
64300324230
71060460010
oct255061772
9104340770
1045376506
112368304a
1213243676
139529b06
1460528b0
153eb4d56
hex2b463fa

45376506 has 48 divisors (see below), whose sum is σ = 113390784. Its totient is φ = 12845952.

The previous prime is 45376501. The next prime is 45376537. The reversal of 45376506 is 60567354.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45376501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12645 + ... + 15831.

It is an arithmetic number, because the mean of its divisors is an integer number (2362308).

Almost surely, 245376506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45376506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56695392).

45376506 is an abundant number, since it is smaller than the sum of its proper divisors (68014278).

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

45376506 is a wasteful number, since it uses less digits than its factorization.

45376506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45376506 is about 6736.2085775308. The cubic root of 45376506 is about 356.6785704628.

The spelling of 45376506 in words is "forty-five million, three hundred seventy-six thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 3187 4746 6374 7119 9561 14238 19122 22309 28683 44618 57366 66927 133854 200781 360131 401562 720262 1080393 2160786 2520917 3241179 5041834 6482358 7562751 15125502 22688253 45376506