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442114628 = 222937239431
BaseRepresentation
bin11010010110100…
…010001001000100
31010210220202020212
4122112202021010
51401140132003
6111512014552
713645624634
oct3226421104
91123822225
10442114628
1120762029a
12104091458
13707987b7
1442a086c4
1528c31dd8
hex1a5a2244

442114628 has 48 divisors (see below), whose sum is σ = 827366400. Its totient is φ = 206317440.

The previous prime is 442114627. The next prime is 442114633. The reversal of 442114628 is 826411244.

It is a junction number, because it is equal to n+sod(n) for n = 442114594 and 442114603.

It is not an unprimeable number, because it can be changed into a prime (442114627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025573 + ... + 1026003.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2442114628 is an apocalyptic number.

It is an amenable number.

442114628 is a deficient number, since it is larger than the sum of its proper divisors (385251772).

442114628 is a wasteful number, since it uses less digits than its factorization.

442114628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 442114628 is about 21026.5220138757. The cubic root of 442114628 is about 761.8070044410.

The spelling of 442114628 in words is "four hundred forty-two million, one hundred fourteen thousand, six hundred twenty-eight".

Divisors: 1 2 4 29 37 58 74 116 148 239 431 478 862 956 1073 1724 2146 4292 6931 8843 12499 13862 15947 17686 24998 27724 31894 35372 49996 63788 103009 206018 256447 412036 462463 512894 924926 1025788 1849852 2987261 3811333 5974522 7622666 11949044 15245332 110528657 221057314 442114628