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42074600 = 2352712963
BaseRepresentation
bin1010000010000…
…0000111101000
32221011121111112
42200200013220
541232341400
64101445452
71020425321
oct240400750
987147445
1042074600
11218282a7
1212110888
138941c19
145833448
153a61835
hex28201e8

42074600 has 48 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 16587200.

The previous prime is 42074581. The next prime is 42074663. The reversal of 42074600 is 647024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12719 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 242074600 is an apocalyptic number.

42074600 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 42074600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

42074600 is an abundant number, since it is smaller than the sum of its proper divisors (57160120).

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

42074600 is a wasteful number, since it uses less digits than its factorization.

42074600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 42074600 is about 6486.4936599059. The cubic root of 42074600 is about 347.8083456078.

The spelling of 42074600 in words is "forty-two million, seventy-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 2963 3550 5926 7100 11852 14200 14815 23704 29630 59260 74075 118520 148150 210373 296300 420746 592600 841492 1051865 1682984 2103730 4207460 5259325 8414920 10518650 21037300 42074600