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45102432 = 253597963
BaseRepresentation
bin1010110000001…
…1010101100000
310010212102220110
42230003111200
543021234212
64250411320
71055235654
oct254032540
9103772813
1045102432
1123506141
1213130b40
13946213b
145dc0a64
153e5da3c
hex2b03560

45102432 has 48 divisors (see below), whose sum is σ = 120415680. Its totient is φ = 14777472.

The previous prime is 45102413. The next prime is 45102461. The reversal of 45102432 is 23420154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 45102399 and 45102408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (2508660).

Almost surely, 245102432 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 45102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60207840).

45102432 is an abundant number, since it is smaller than the sum of its proper divisors (75313248).

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

45102432 is a wasteful number, since it uses less digits than its factorization.

45102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45102432 is about 6715.8344232121. The cubic root of 45102432 is about 355.9590071892.

Adding to 45102432 its reverse (23420154), we get a palindrome (68522586).

The spelling of 45102432 in words is "forty-five million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 7963 15926 23889 31852 47778 63704 95556 127408 191112 254816 382224 469817 764448 939634 1409451 1879268 2818902 3758536 5637804 7517072 11275608 15034144 22551216 45102432