Search a number
-
+
914798444 = 227253831061
BaseRepresentation
bin110110100001101…
…011011101101100
32100202100120112212
4312201223131230
53333142022234
6230435145552
731445441600
oct6641533554
92322316485
10914798444
1142a41a67a
122164452b8
131176a8371
14896cd500
15554a15ce
hex3686b76c

914798444 has 72 divisors (see below), whose sum is σ = 1922075568. Its totient is φ = 379666560.

The previous prime is 914798431. The next prime is 914798449. The reversal of 914798444 is 444897419.

It is a super-3 number, since 3×9147984443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 914798392 and 914798401.

It is not an unprimeable number, because it can be changed into a prime (914798449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861674 + ... + 862734.

It is an arithmetic number, because the mean of its divisors is an integer number (26695494).

Almost surely, 2914798444 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 914798444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961037784).

914798444 is an abundant number, since it is smaller than the sum of its proper divisors (1007277124).

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

914798444 is a wasteful number, since it uses less digits than its factorization.

914798444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 914798444 is about 30245.6351231050. The cubic root of 914798444 is about 970.7523988420.

The spelling of 914798444 in words is "nine hundred fourteen million, seven hundred ninety-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 53 83 98 106 166 196 212 332 371 581 742 1061 1162 1484 2122 2324 2597 4067 4244 4399 5194 7427 8134 8798 10388 14854 16268 17596 29708 30793 51989 56233 61586 88063 103978 112466 123172 176126 207956 215551 224932 352252 393631 431102 616441 787262 862204 1232882 1574524 2465764 2755417 4315087 4667339 5510834 8630174 9334678 11021668 17260348 18669356 32671373 65342746 130685492 228699611 457399222 914798444