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45142500 = 2235413463
BaseRepresentation
bin1010110000110…
…1000111100100
310010221110212110
42230031013210
543024030000
64251321020
71055463534
oct254150744
9103843773
1045142500
1123533257
1213150170
139477450
145dd14c4
153e6a850
hex2b0d1e4

45142500 has 120 divisors (see below), whose sum is σ = 142054528. Its totient is φ = 11088000.

The previous prime is 45142457. The next prime is 45142519. The reversal of 45142500 is 524154.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97269 + ... + 97731.

Almost surely, 245142500 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 45142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71027264).

45142500 is an abundant number, since it is smaller than the sum of its proper divisors (96912028).

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

45142500 is a wasteful number, since it uses less digits than its factorization.

45142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45142500 is about 6718.8168601324. The cubic root of 45142500 is about 356.0643846854.

Adding to 45142500 its reverse (524154), we get a palindrome (45666654).

The spelling of 45142500 in words is "forty-five million, one hundred forty-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 78 100 125 130 150 156 195 250 260 300 325 375 390 463 500 625 650 750 780 926 975 1250 1300 1389 1500 1625 1852 1875 1950 2315 2500 2778 3250 3750 3900 4630 4875 5556 6019 6500 6945 7500 8125 9260 9750 11575 12038 13890 16250 18057 19500 23150 24076 24375 27780 30095 32500 34725 36114 46300 48750 57875 60190 69450 72228 90285 97500 115750 120380 138900 150475 173625 180570 231500 289375 300950 347250 361140 451425 578750 601900 694500 752375 868125 902850 1157500 1504750 1736250 1805700 2257125 3009500 3472500 3761875 4514250 7523750 9028500 11285625 15047500 22571250 45142500