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42100410 = 235111131129
BaseRepresentation
bin1010000010011…
…0011010111010
32221012220220110
42200212122322
541234203120
64102205150
71020563502
oct240463272
987186813
1042100410
1121845730
12121237b6
1389508b1
14583ca02
153a692e0
hex28266ba

42100410 has 64 divisors (see below), whose sum is σ = 111300480. Its totient is φ = 10106880.

The previous prime is 42100403. The next prime is 42100423. The reversal of 42100410 is 1400124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36726 + ... + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (1739070).

Almost surely, 242100410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55650240).

42100410 is an abundant number, since it is smaller than the sum of its proper divisors (69200070).

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

42100410 is a wasteful number, since it uses less digits than its factorization.

42100410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42100410 is about 6488.4828735229. The cubic root of 42100410 is about 347.8794502524.

Adding to 42100410 its reverse (1400124), we get a palindrome (43500534).

The spelling of 42100410 in words is "forty-two million, one hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 565 678 1129 1130 1243 1695 2258 2486 3387 3390 3729 5645 6215 6774 7458 11290 12419 12430 16935 18645 24838 33870 37257 37290 62095 74514 124190 127577 186285 255154 372570 382731 637885 765462 1275770 1403347 1913655 2806694 3827310 4210041 7016735 8420082 14033470 21050205 42100410