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42113412 = 22331135449
BaseRepresentation
bin1010000010100…
…1100110000100
32221020120202000
42200221212010
541240112122
64102345300
71020646425
oct240514604
987216660
1042113412
1121854480
121212b230
1389567a3
14584364c
153a6d0ac
hex2829984

42113412 has 48 divisors (see below), whose sum is σ = 119112000. Its totient is φ = 12761280.

The previous prime is 42113411. The next prime is 42113417. The reversal of 42113412 is 21431124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42113411) 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, 16537 + ... + 18912.

It is an arithmetic number, because the mean of its divisors is an integer number (2481500).

Almost surely, 242113412 is an apocalyptic number.

It is an amenable number.

42113412 is an abundant number, since it is smaller than the sum of its proper divisors (76998588).

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

42113412 is a wasteful number, since it uses less digits than its factorization.

42113412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35473 (or 35465 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42113412 is about 6489.4847253075. The cubic root of 42113412 is about 347.9152587957.

Adding to 42113412 its reverse (21431124), we get a palindrome (63544536).

The spelling of 42113412 in words is "forty-two million, one hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 35449 70898 106347 141796 212694 319041 389939 425388 638082 779878 957123 1169817 1276164 1559756 1914246 2339634 3509451 3828492 4679268 7018902 10528353 14037804 21056706 42113412