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4644444464 = 2411235032281
BaseRepresentation
bin1000101001101010…
…01001100100110000
3102222200100020001122
410110311021210300
534002434210324
62044510321412
7223044061262
oct42465114460
912880306048
104644444464
111a73738960
12a974b9268
135902ababa
14320b89b32
151c2b21a5e
hex114d49930

4644444464 has 80 divisors (see below), whose sum is σ = 10268342784. Its totient is φ = 2014425600.

The previous prime is 4644444463. The next prime is 4644444503.

4644444464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4644444463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035004 + ... + 2037284.

Almost surely, 24644444464 is an apocalyptic number.

4644444464 is a gapful number since it is divisible by the number (44) 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 4644444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134171392).

4644444464 is an abundant number, since it is smaller than the sum of its proper divisors (5623898320).

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

4644444464 is a wasteful number, since it uses less digits than its factorization.

4644444464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2820 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The square root of 4644444464 is about 68150.1611443436. The cubic root of 4644444464 is about 1668.4425538538.

The spelling of 4644444464 in words is "four billion, six hundred forty-four million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 503 506 1006 1012 2012 2024 2281 4024 4048 4562 5533 8048 9124 11066 11569 18248 22132 23138 25091 36496 44264 46276 50182 52463 88528 92552 100364 104926 127259 185104 200728 209852 254518 401456 419704 509036 577093 839408 1018072 1147343 1154186 2036144 2294686 2308372 4589372 4616744 9178744 9233488 12620773 18357488 25241546 26388889 50483092 52777778 100966184 105555556 201932368 211111112 290277779 422222224 580555558 1161111116 2322222232 4644444464