Search a number
-
+
44971460 = 22517294561
BaseRepresentation
bin1010101110001…
…1010111000100
310010121210020122
42223203113010
543003041320
64243521112
71054152062
oct253432704
9103553218
1044971460
11234267a6
1213089198
139417641
145d89032
153e34d25
hex2ae35c4

44971460 has 48 divisors (see below), whose sum is σ = 103466160. Its totient is φ = 16343040.

The previous prime is 44971439. The next prime is 44971469. The reversal of 44971460 is 6417944.

44971460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1024 + 44970436 = 32^2 + 6706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44971460.

It is not an unprimeable number, because it can be changed into a prime (44971469) 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, 7580 + ... + 12140.

It is an arithmetic number, because the mean of its divisors is an integer number (2155545).

Almost surely, 244971460 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 44971460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51733080).

44971460 is an abundant number, since it is smaller than the sum of its proper divisors (58494700).

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

44971460 is a wasteful number, since it uses less digits than its factorization.

44971460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 44971460 is about 6706.0763491031. The cubic root of 44971460 is about 355.6141191874.

The spelling of 44971460 in words is "forty-four million, nine hundred seventy-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4561 4930 9122 9860 18244 22805 45610 77537 91220 132269 155074 264538 310148 387685 529076 661345 775370 1322690 1550740 2248573 2645380 4497146 8994292 11242865 22485730 44971460