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4044295872 = 26332818329
BaseRepresentation
bin1111000100001111…
…0000111011000000
3101102212001111222000
43301003300323000
531240314431442
61505151144000
7202135643031
oct36103607300
911385044860
104044295872
111795999391
1294a515000
134c5b606a6
142a51a4a88
1518a0c4d4c
hexf10f0ec0

4044295872 has 112 divisors (see below), whose sum is σ = 11933224800. Its totient is φ = 1343139840.

The previous prime is 4044295861. The next prime is 4044295921. The reversal of 4044295872 is 2785924404.

4044295872 is a `hidden beast` number, since 4 + 0 + 44 + 29 + 587 + 2 = 666.

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, 481404 + ... + 489732.

It is an arithmetic number, because the mean of its divisors is an integer number (106546650).

Almost surely, 24044295872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966612400).

4044295872 is an abundant number, since it is smaller than the sum of its proper divisors (7888928928).

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

4044295872 is a wasteful number, since it uses less digits than its factorization.

4044295872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8631 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4044295872 is about 63594.7786535970. The cubic root of 4044295872 is about 1593.2391638390.

The spelling of 4044295872 in words is "four billion, forty-four million, two hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 281 288 432 562 576 843 864 1124 1686 1728 2248 2529 3372 4496 5058 6744 7587 8329 8992 10116 13488 15174 16658 17984 20232 24987 26976 30348 33316 40464 49974 53952 60696 66632 74961 80928 99948 121392 133264 149922 161856 199896 224883 242784 266528 299844 399792 449766 485568 533056 599688 799584 899532 1199376 1599168 1799064 2340449 2398752 3598128 4680898 4797504 7021347 7196256 9361796 14042694 14392512 18723592 21064041 28085388 37447184 42128082 56170776 63192123 74894368 84256164 112341552 126384246 149788736 168512328 224683104 252768492 337024656 449366208 505536984 674049312 1011073968 1348098624 2022147936 4044295872