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6440220828 = 22322416611123
BaseRepresentation
bin1011111111101110…
…11111100010011100
3121121211102010010100
411333313133202130
5101142144031303
62543020141100
7315410655006
oct57767374234
917554363110
106440220828
112805378258
1212b8997790
137b8350572
14451483376
1527a5e38a3
hex17fddf89c

6440220828 has 72 divisors (see below), whose sum is σ = 16386305936. Its totient is φ = 2132697600.

The previous prime is 6440220817. The next prime is 6440220847. The reversal of 6440220828 is 8280220446.

It is a happy number.

6440220828 is a `hidden beast` number, since 6 + 440 + 2 + 208 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6440220792 and 6440220801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5734275 + ... + 5735397.

Almost surely, 26440220828 is an apocalyptic number.

It is an amenable number.

6440220828 is an abundant number, since it is smaller than the sum of its proper divisors (9946085108).

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

6440220828 is a wasteful number, since it uses less digits than its factorization.

6440220828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 6440220828 is about 80250.9864612268. The cubic root of 6440220828 is about 1860.5167589490.

The spelling of 6440220828 in words is "six billion, four hundred forty million, two hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 661 723 964 1123 1322 1446 1983 2169 2246 2644 2892 3369 3966 4338 4492 5949 6738 7932 8676 10107 11898 13476 20214 23796 40428 159301 270643 318602 477903 541286 637204 742303 811929 955806 1082572 1433709 1484606 1623858 1911612 2226909 2435787 2867418 2969212 3247716 4453818 4871574 5734836 6680727 8907636 9743148 13361454 26722908 178895023 357790046 536685069 715580092 1073370138 1610055207 2146740276 3220110414 6440220828