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42540300 = 223252114297
BaseRepresentation
bin1010001001000…
…1110100001100
32222001021022200
42202101310030
541342242200
64115441500
71024405125
oct242216414
988037280
1042540300
1122016180
12122b6290
138a75b9a
14591504c
153b04800
hex2891d0c

42540300 has 108 divisors (see below), whose sum is σ = 145495896. Its totient is φ = 10310400.

The previous prime is 42540293. The next prime is 42540331. The reversal of 42540300 is 304524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7752 + ... + 12048.

Almost surely, 242540300 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 42540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72747948).

42540300 is an abundant number, since it is smaller than the sum of its proper divisors (102955596).

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

42540300 is a wasteful number, since it uses less digits than its factorization.

42540300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42540300 is about 6522.2925417371. The cubic root of 42540300 is about 349.0868714761.

Adding to 42540300 its reverse (304524), we get a palindrome (42844824).

The spelling of 42540300 in words is "forty-two million, five hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4297 4950 8594 9900 12891 17188 21485 25782 38673 42970 47267 51564 64455 77346 85940 94534 107425 128910 141801 154692 189068 193365 214850 236335 257820 283602 322275 386730 425403 429700 472670 567204 644550 709005 773460 850806 945340 966825 1181675 1289100 1418010 1701612 1933650 2127015 2363350 2836020 3545025 3867300 4254030 4726700 7090050 8508060 10635075 14180100 21270150 42540300