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42410800 = 2452229463
BaseRepresentation
bin1010000111001…
…0001100110000
32221210200200101
42201302030300
541324121200
64113002144
71023325435
oct241621460
987720611
1042410800
1121a37953
1212253354
138a2bc63
1458bdb8c
153acb26a
hex2872330

42410800 has 60 divisors (see below), whose sum is σ = 102557920. Its totient is φ = 16853760.

The previous prime is 42410791. The next prime is 42410803. The reversal of 42410800 is 801424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42410803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91369 + ... + 91831.

Almost surely, 242410800 is an apocalyptic number.

42410800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51278960).

42410800 is an abundant number, since it is smaller than the sum of its proper divisors (60147120).

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

42410800 is a wasteful number, since it uses less digits than its factorization.

42410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 42410800 is about 6512.3574840452. The cubic root of 42410800 is about 348.7322845709.

The spelling of 42410800 in words is "forty-two million, four hundred ten thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 229 400 458 463 916 926 1145 1832 1852 2290 2315 3664 3704 4580 4630 5725 7408 9160 9260 11450 11575 18320 18520 22900 23150 37040 45800 46300 91600 92600 106027 185200 212054 424108 530135 848216 1060270 1696432 2120540 2650675 4241080 5301350 8482160 10602700 21205400 42410800