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45449976 = 2331113171941
BaseRepresentation
bin1010110101100…
…0001011111000
310011112002122110
42231120023320
543113344401
64302052320
71061214135
oct255301370
9104462573
1045449976
1123723270
121327a0a0
1395543a0
14607158c
153ecb9d6
hex2b582f8

45449976 has 256 divisors, whose sum is σ = 152409600. Its totient is φ = 11059200.

The previous prime is 45449939. The next prime is 45449977. The reversal of 45449976 is 67994454.

It is a happy number.

45449976 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 (45449977) 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 63 ways as a sum of consecutive naturals, for example, 1108516 + ... + 1108556.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 245449976 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 45449976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

45449976 is an abundant number, since it is smaller than the sum of its proper divisors (106959624).

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

45449976 is a wasteful number, since it uses less digits than its factorization.

45449976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 45449976 is about 6741.6597362964. The cubic root of 45449976 is about 356.8709684421.

The spelling of 45449976 in words is "forty-five million, four hundred forty-nine thousand, nine hundred seventy-six".