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4408004004 = 22323101158129
BaseRepresentation
bin1000001101011110…
…01100110110100100
3102101012102210201120
410012233030312210
533011422112004
62005222453540
7214143262425
oct40657146644
912335383646
104408004004
111962226718
12a302942b0
135533061c1
142db5dd64c
151abeba3d9
hex106bccda4

4408004004 has 48 divisors (see below), whose sum is σ = 10838862720. Its totient is φ = 1391526400.

The previous prime is 4408003979. The next prime is 4408004023. The reversal of 4408004004 is 4004008044.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51189 + ... + 106940.

It is an arithmetic number, because the mean of its divisors is an integer number (225809640).

Almost surely, 24408004004 is an apocalyptic number.

It is an amenable number.

4408004004 is an abundant number, since it is smaller than the sum of its proper divisors (6430858716).

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

4408004004 is a wasteful number, since it uses less digits than its factorization.

4408004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158260 (or 158258 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4408004004 is about 66392.8008446699. The cubic root of 4408004004 is about 1639.6355530644.

The spelling of 4408004004 in words is "four billion, four hundred eight million, four thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 303 404 606 1212 2323 4646 6969 9292 13938 27876 158129 316258 474387 632516 948774 1897548 3636967 7273934 10910901 14547868 15971029 21821802 31942058 43643604 47913087 63884116 95826174 191652348 367333667 734667334 1102001001 1469334668 2204002002 4408004004