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45532500 = 2235413467
BaseRepresentation
bin1010110110110…
…0010101010100
310011200021211220
42231230111110
543124020000
64303530340
71062006546
oct255542524
9104607756
1045532500
112377a272
12132b99b0
139582b10
146093696
153ee61a0
hex2b6c554

45532500 has 120 divisors (see below), whose sum is σ = 143279136. Its totient is φ = 11184000.

The previous prime is 45532481. The next prime is 45532507. The reversal of 45532500 is 523554.

45532500 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 (45532507) 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 39 ways as a sum of consecutive naturals, for example, 97267 + ... + 97733.

Almost surely, 245532500 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 45532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71639568).

45532500 is an abundant number, since it is smaller than the sum of its proper divisors (97746636).

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

45532500 is a wasteful number, since it uses less digits than its factorization.

45532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 45532500 is about 6747.7774118594. Note that the first 3 decimals coincide. The cubic root of 45532500 is about 357.0868293062.

The spelling of 45532500 in words is "forty-five million, five hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 467 500 625 650 750 780 934 975 1250 1300 1401 1500 1625 1868 1875 1950 2335 2500 2802 3250 3750 3900 4670 4875 5604 6071 6500 7005 7500 8125 9340 9750 11675 12142 14010 16250 18213 19500 23350 24284 24375 28020 30355 32500 35025 36426 46700 48750 58375 60710 70050 72852 91065 97500 116750 121420 140100 151775 175125 182130 233500 291875 303550 350250 364260 455325 583750 607100 700500 758875 875625 910650 1167500 1517750 1751250 1821300 2276625 3035500 3502500 3794375 4553250 7588750 9106500 11383125 15177500 22766250 45532500