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42031104 = 21136841
BaseRepresentation
bin1010000001010…
…1100000000000
32221002101211120
42200111200000
541224443404
64100512240
71020154443
oct240254000
987071746
1042031104
11217a8655
12120ab680
13892819b
14582165a
153a539d9
hex2815800

42031104 has 48 divisors (see below), whose sum is σ = 112071960. Its totient is φ = 14008320.

The previous prime is 42031079. The next prime is 42031111. The reversal of 42031104 is 40113024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×420311042 = 3533227406917632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2724 + ... + 9564.

Almost surely, 242031104 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 42031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56035980).

42031104 is an abundant number, since it is smaller than the sum of its proper divisors (70040856).

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

42031104 is an equidigital number, since it uses as much as digits as its factorization.

42031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42031104 is about 6483.1399799788. The cubic root of 42031104 is about 347.6884515156.

Adding to 42031104 its reverse (40113024), we get a palindrome (82144128).

The spelling of 42031104 in words is "forty-two million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6841 13682 20523 27364 41046 54728 82092 109456 164184 218912 328368 437824 656736 875648 1313472 1751296 2626944 3502592 5253888 7005184 10507776 14010368 21015552 42031104