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4400001608 = 2317198232069
BaseRepresentation
bin1000001100100001…
…01011001001001000
3102100122101020111112
410012100223021020
533002400022413
62004335145452
7214015253012
oct40620531110
912318336445
104400001608
111958760372
12a29675288
13551763962
142da5191b2
151ab4392a8
hex10642b248

4400001608 has 64 divisors (see below), whose sum is σ = 9210672000. Its totient is φ = 1958280192.

The previous prime is 4400001601. The next prime is 4400001629. The reversal of 4400001608 is 8061000044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4400001601) 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 15 ways as a sum of consecutive naturals, for example, 2125598 + ... + 2127666.

It is an arithmetic number, because the mean of its divisors is an integer number (143916750).

Almost surely, 24400001608 is an apocalyptic number.

It is an amenable number.

4400001608 is an abundant number, since it is smaller than the sum of its proper divisors (4810670392).

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

4400001608 is a wasteful number, since it uses less digits than its factorization.

4400001608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4400001608 is about 66332.5079278629. The cubic root of 4400001608 is about 1638.6427408177.

The spelling of 4400001608 in words is "four billion, four hundred million, one thousand, six hundred eight".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 823 1292 1646 2069 2584 3292 4138 6584 8276 13991 15637 16552 27982 31274 35173 39311 55964 62548 70346 78622 111928 125096 140692 157244 265829 281384 314488 531658 668287 1063316 1336574 1702787 2126632 2673148 3405574 5346296 6811148 13622296 28947379 32352953 57894758 64705906 115789516 129411812 231579032 258823624 550000201 1100000402 2200000804 4400001608