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42461104 = 2471729769
BaseRepresentation
bin1010000111111…
…0011110110000
32221220020200111
42201332132300
541332223404
64114031104
71023625210
oct241763660
987806614
1042461104
1121a71724
1212278494
138a48b1a
1458d4240
153adb104
hex287e7b0

42461104 has 80 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 16515072.

The previous prime is 42461101. The next prime is 42461113. The reversal of 42461104 is 40116424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42461101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54832 + ... + 55600.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 242461104 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 42461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

42461104 is an abundant number, since it is smaller than the sum of its proper divisors (60657296).

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

42461104 is a wasteful number, since it uses less digits than its factorization.

42461104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42461104 is about 6516.2185353163. The cubic root of 42461104 is about 348.8701087224.

Adding to 42461104 its reverse (40116424), we get a palindrome (82577528).

The spelling of 42461104 in words is "forty-two million, four hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 769 812 952 986 1538 1624 1904 1972 3076 3248 3451 3944 5383 6152 6902 7888 10766 12304 13073 13804 21532 22301 26146 27608 43064 44602 52292 55216 86128 89204 91511 104584 156107 178408 183022 209168 312214 356816 366044 379117 624428 732088 758234 1248856 1464176 1516468 2497712 2653819 3032936 5307638 6065872 10615276 21230552 42461104