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45429488 = 2413375903
BaseRepresentation
bin1010110101001…
…1001011110000
310011111001112122
42231103023300
543112220423
64301413412
71061100326
oct255231360
9104431478
1045429488
1123709935
121326a268
139547c70
146067d16
153ec58c8
hex2b532f0

45429488 has 40 divisors (see below), whose sum is σ = 97368768. Its totient is φ = 20397312.

The previous prime is 45429487. The next prime is 45429493. The reversal of 45429488 is 88492454.

45429488 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 (45429481) 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 7 ways as a sum of consecutive naturals, for example, 4745 + ... + 10647.

Almost surely, 245429488 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 45429488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48684384).

45429488 is an abundant number, since it is smaller than the sum of its proper divisors (51939280).

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

45429488 is a wasteful number, since it uses less digits than its factorization.

45429488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5955 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 45429488 is about 6740.1400578920. The cubic root of 45429488 is about 356.8173367943.

The spelling of 45429488 in words is "forty-five million, four hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 5903 7696 11806 23612 47224 76739 94448 153478 218411 306956 436822 613912 873644 1227824 1747288 2839343 3494576 5678686 11357372 22714744 45429488