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45226428 = 22313229769
BaseRepresentation
bin1010110010000…
…1100110111100
310011002201222220
42230201212330
543034221203
64253205340
71056263322
oct254414674
9104081886
1045226428
1123590315
1213190850
1394a6700
146013d12
153e85653
hex2b219bc

45226428 has 72 divisors (see below), whose sum is σ = 118364400. Its totient is φ = 13418496.

The previous prime is 45226397. The next prime is 45226429. The reversal of 45226428 is 82462254.

45226428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45226429) 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 23 ways as a sum of consecutive naturals, for example, 58428 + ... + 59196.

It is an arithmetic number, because the mean of its divisors is an integer number (1643950).

Almost surely, 245226428 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 45226428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59182200).

45226428 is an abundant number, since it is smaller than the sum of its proper divisors (73137972).

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

45226428 is a wasteful number, since it uses less digits than its factorization.

45226428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 816 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 45226428 is about 6725.0597023372. The cubic root of 45226428 is about 356.2849105831.

It can be divided in two parts, 45226 and 428, that added together give a palindrome (45654).

The spelling of 45226428 in words is "forty-five million, two hundred twenty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 169 174 338 348 377 507 676 754 769 1014 1131 1508 1538 2028 2262 2307 3076 4524 4614 4901 9228 9802 9997 14703 19604 19994 22301 29406 29991 39988 44602 58812 59982 66903 89204 119964 129961 133806 259922 267612 289913 389883 519844 579826 779766 869739 1159652 1559532 1739478 3478956 3768869 7537738 11306607 15075476 22613214 45226428