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675642496 = 2737331431
BaseRepresentation
bin101000010001010…
…111110010000000
31202002100012021011
4220101113302000
52340431024441
6151013210304
722512603124
oct5021276200
91662305234
10675642496
11317423231
1216a330994
13a9c91779
1465a37584
153e4b0581
hex28457c80

675642496 has 64 divisors (see below), whose sum is σ = 1389778560. Its totient is φ = 326937600.

The previous prime is 675642491. The next prime is 675642497. The reversal of 675642496 is 694246576.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6756424962 = 912985564802220032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (675642491) 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 7 ways as a sum of consecutive naturals, for example, 1567401 + ... + 1567831.

It is an arithmetic number, because the mean of its divisors is an integer number (21715290).

Almost surely, 2675642496 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 675642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694889280).

675642496 is an abundant number, since it is smaller than the sum of its proper divisors (714136064).

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

675642496 is a wasteful number, since it uses less digits than its factorization.

675642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The square root of 675642496 is about 25993.1240138618. The cubic root of 675642496 is about 877.4835546413.

The spelling of 675642496 in words is "six hundred seventy-five million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 331 431 592 662 862 1184 1324 1724 2368 2648 3448 4736 5296 6896 10592 12247 13792 15947 21184 24494 27584 31894 42368 48988 55168 63788 97976 127576 142661 195952 255152 285322 391904 510304 570644 783808 1020608 1141288 1567616 2041216 2282576 4565152 5278457 9130304 10556914 18260608 21113828 42227656 84455312 168910624 337821248 675642496