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42110224 = 24131711909
BaseRepresentation
bin1010000010100…
…0110100010000
32221020102100221
42200220310100
541240011344
64102322424
71020634222
oct240506420
987212327
1042110224
1121852042
1212129414
1389551c0
145842412
153a6c184
hex2828d10

42110224 has 40 divisors (see below), whose sum is σ = 93040920. Its totient is φ = 18290688.

The previous prime is 42110209. The next prime is 42110227. The reversal of 42110224 is 42201124.

It can be written as a sum of positive squares in 4 ways, for example, as 2822400 + 39287824 = 1680^2 + 6268^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42110198 and 42110207.

It is not an unprimeable number, because it can be changed into a prime (42110227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2419 + ... + 9490.

It is an arithmetic number, because the mean of its divisors is an integer number (2326023).

Almost surely, 242110224 is an apocalyptic number.

It is an amenable number.

42110224 is an abundant number, since it is smaller than the sum of its proper divisors (50930696).

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

42110224 is a wasteful number, since it uses less digits than its factorization.

42110224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11947 (or 11941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42110224 is about 6489.2390925285. The cubic root of 42110224 is about 347.9064794719.

Adding to 42110224 its reverse (42201124), we get a palindrome (84311348).

The spelling of 42110224 in words is "forty-two million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 11909 23818 47636 95272 154817 190544 202453 309634 404906 619268 809812 1238536 1619624 2477072 2631889 3239248 5263778 10527556 21055112 42110224