[go: up one dir, main page]

Search a number
-
+
6422977800 = 23325218892
BaseRepresentation
bin1011111101101011…
…01101110100001000
3121120121222002010200
411332311231310020
5101123240242200
62541202412200
7315111260541
oct57665556410
917517862120
106422977800
1127a6670318
1212b3061060
137b48c3ca5
1444d0754c8
15278d39800
hex17ed6dd08

6422977800 has 108 divisors (see below), whose sum is σ = 21581925495. Its totient is φ = 1711887360.

The previous prime is 6422977789. The next prime is 6422977807. The reversal of 6422977800 is 87792246.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2199797604 + 4223180196 = 46902^2 + 64986^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=56670.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6422977807) 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, 3399256 + ... + 3401144.

Almost surely, 26422977800 is an apocalyptic number.

6422977800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6422977800

6422977800 is an abundant number, since it is smaller than the sum of its proper divisors (15158947695).

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

6422977800 is a wasteful number, since it uses less digits than its factorization.

6422977800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6422977800 is about 80143.4825796833. The cubic root of 6422977800 is about 1858.8548275117.

The spelling of 6422977800 in words is "six billion, four hundred twenty-two million, nine hundred seventy-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1889 3778 5667 7556 9445 11334 15112 17001 18890 22668 28335 34002 37780 45336 47225 56670 68004 75560 85005 94450 113340 136008 141675 170010 188900 226680 283350 340020 377800 425025 566700 680040 850050 1133400 1700100 3400200 3568321 7136642 10704963 14273284 17841605 21409926 28546568 32114889 35683210 42819852 53524815 64229778 71366420 85639704 89208025 107049630 128459556 142732840 160574445 178416050 214099260 256919112 267624075 321148890 356832100 428198520 535248150 642297780 713664200 802872225 1070496300 1284595560 1605744450 2140992600 3211488900 6422977800