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42598070449 = 1122926472
BaseRepresentation
bin100111101011000010…
…101111100010110001
311001221201210012010221
4213223002233202301
51144220101223244
631322544253041
73035422424134
oct475302574261
9131851705127
1042598070449
111707a555900
12830a011181
13402b3cb15c
1420c166a21b
151194b35784
hex9eb0af8b1

42598070449 has 27 divisors (see below), whose sum is σ = 48567988651. Its totient is φ = 37332365840.

The previous prime is 42598070447. The next prime is 42598070503. The reversal of 42598070449 is 94407089524.

The square root of 42598070449 is 206393.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22337394849 + 20260675600 = 149457^2 + 142340^2 .

It is not a de Polignac number, because 42598070449 - 21 = 42598070447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42598070396 and 42598070405.

It is not an unprimeable number, because it can be changed into a prime (42598070441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65839044 + ... + 65839690.

Almost surely, 242598070449 is an apocalyptic number.

42598070449 is the 206393-rd square number.

42598070449 is the 103197-th centered octagonal number.

It is an amenable number.

42598070449 is a deficient number, since it is larger than the sum of its proper divisors (5969918202).

42598070449 is an frugal number, since it uses more digits than its factorization.

42598070449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

It can be divided in two parts, 4259 and 8070449, that added together give a palindrome (8074708).

The spelling of 42598070449 in words is "forty-two billion, five hundred ninety-eight million, seventy thousand, four hundred forty-nine".

Divisors: 1 11 29 121 319 647 841 3509 7117 9251 18763 78287 101761 206393 418609 544127 2270323 4604699 5985397 12139661 50651689 65839367 133536271 352050169 1468898981 3872551859 42598070449