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6402252640 = 255710156597
BaseRepresentation
bin1011111011001101…
…01001111101100000
3121112011222010120011
411331212221331200
5101102434041030
62535142254304
7314440151410
oct57546517540
917464863504
106402252640
1127959a5193
1212a8127394
137b0518794
1444a3dc640
152770e3b2a
hex17d9a9f60

6402252640 has 96 divisors (see below), whose sum is σ = 17457539904. Its totient is φ = 2173286400.

The previous prime is 6402252631. The next prime is 6402252677. The reversal of 6402252640 is 462522046.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84822 + ... + 141418.

It is an arithmetic number, because the mean of its divisors is an integer number (181849374).

Almost surely, 26402252640 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 6402252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728769952).

6402252640 is an abundant number, since it is smaller than the sum of its proper divisors (11055287264).

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

6402252640 is a wasteful number, since it uses less digits than its factorization.

6402252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56720 (or 56712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 6402252640 is about 80014.0777613540. The cubic root of 6402252640 is about 1856.8533376572.

Adding to 6402252640 its reverse (462522046), we get a palindrome (6864774686).

The spelling of 6402252640 in words is "six billion, four hundred two million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 224 280 404 505 560 707 808 1010 1120 1414 1616 2020 2828 3232 3535 4040 5656 7070 8080 11312 14140 16160 22624 28280 56560 56597 113120 113194 226388 282985 396179 452776 565970 792358 905552 1131940 1584716 1811104 1980895 2263880 3169432 3961790 4527760 5716297 6338864 7923580 9055520 11432594 12677728 15847160 22865188 28581485 31694320 40014079 45730376 57162970 63388640 80028158 91460752 114325940 160056316 182921504 200070395 228651880 320112632 400140790 457303760 640225264 800281580 914607520 1280450528 1600563160 3201126320 6402252640