Search a number
-
+
45129270 = 23537109373
BaseRepresentation
bin1010110000100…
…1111000110110
310010220210201110
42230021320312
543023114040
64251135450
71055410134
oct254117066
9103823643
1045129270
112352431a
1213144586
139471414
145dca754
153e66980
hex2b09e36

45129270 has 64 divisors (see below), whose sum is σ = 112559040. Its totient is φ = 11570688.

The previous prime is 45129251. The next prime is 45129281. The reversal of 45129270 is 7292154.

45129270 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 (30).

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, 120804 + ... + 121176.

It is an arithmetic number, because the mean of its divisors is an integer number (1758735).

Almost surely, 245129270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45129270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56279520).

45129270 is an abundant number, since it is smaller than the sum of its proper divisors (67429770).

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

45129270 is a wasteful number, since it uses less digits than its factorization.

45129270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 45129270 is about 6717.8322396440. The cubic root of 45129270 is about 356.0295971269.

The spelling of 45129270 in words is "forty-five million, one hundred twenty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 109 111 185 218 222 327 370 373 545 555 654 746 1090 1110 1119 1635 1865 2238 3270 3730 4033 5595 8066 11190 12099 13801 20165 24198 27602 40330 40657 41403 60495 69005 81314 82806 120990 121971 138010 203285 207015 243942 406570 414030 609855 1219710 1504309 3008618 4512927 7521545 9025854 15043090 22564635 45129270