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45423144 = 23321323733
BaseRepresentation
bin1010110101000…
…1101000101000
310011110201211200
42231101220220
543112020034
64301324200
71061042664
oct255215050
9104421750
1045423144
1123705098
1213266660
139545100
1460658a4
153ec3a99
hex2b51a28

45423144 has 72 divisors (see below), whose sum is σ = 133247790. Its totient is φ = 13972608.

The previous prime is 45423139. The next prime is 45423149. The reversal of 45423144 is 44132454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45423139) and next prime (45423149).

It can be written as a sum of positive squares in 3 ways, for example, as 23912100 + 21511044 = 4890^2 + 4638^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45423149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10302 + ... + 14034.

Almost surely, 245423144 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 45423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66623895).

45423144 is an abundant number, since it is smaller than the sum of its proper divisors (87824646).

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

45423144 is a wasteful number, since it uses less digits than its factorization.

45423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3751 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 45423144 is about 6739.6694280951. The cubic root of 45423144 is about 356.8007267710.

Adding to 45423144 its reverse (44132454), we get a palindrome (89555598).

The spelling of 45423144 in words is "forty-five million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3733 4056 6084 7466 11199 12168 14932 22398 29864 33597 44796 48529 67194 89592 97058 134388 145587 194116 268776 291174 388232 436761 582348 630877 873522 1164696 1261754 1747044 1892631 2523508 3494088 3785262 5047016 5677893 7570524 11355786 15141048 22711572 45423144