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42532300 = 225217127197
BaseRepresentation
bin1010001000111…
…1110111001100
32222000212100101
42202033313030
541342013200
64115340444
71024342606
oct242176714
988025311
1042532300
1122010168
12122b1724
138a72355
145912176
153b0226a
hex288fdcc

42532300 has 72 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 15805440.

The previous prime is 42532261. The next prime is 42532327. The reversal of 42532300 is 323524.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215802 + ... + 215998.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 242532300 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 42532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

42532300 is an abundant number, since it is smaller than the sum of its proper divisors (56461364).

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

42532300 is a wasteful number, since it uses less digits than its factorization.

42532300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 42532300 is about 6521.6792316090. The cubic root of 42532300 is about 349.0649873643.

Adding to 42532300 its reverse (323524), we get a palindrome (42855824).

The spelling of 42532300 in words is "forty-two million, five hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 127 170 197 254 340 394 425 508 635 788 850 985 1270 1700 1970 2159 2540 3175 3349 3940 4318 4925 6350 6698 8636 9850 10795 12700 13396 16745 19700 21590 25019 33490 43180 50038 53975 66980 83725 100076 107950 125095 167450 215900 250190 334900 425323 500380 625475 850646 1250950 1701292 2126615 2501900 4253230 8506460 10633075 21266150 42532300