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4044982272 = 21135711153
BaseRepresentation
bin1111000100011001…
…1000100000000000
3101102220100101112020
43301012120200000
531241003413042
61505214001440
7202144532142
oct36106304000
911386311466
104044982272
111796318061
1294a7a6280
134c6040c46
142a5302c92
1518a1ad3ec
hexf1198800

4044982272 has 96 divisors (see below), whose sum is σ = 10812241440. Its totient is φ = 1344798720.

The previous prime is 4044982267. The next prime is 4044982273. The reversal of 4044982272 is 2722894404.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4044982273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507648 + ... + 3508800.

It is an arithmetic number, because the mean of its divisors is an integer number (112627515).

Almost surely, 24044982272 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 4044982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406120720).

4044982272 is an abundant number, since it is smaller than the sum of its proper divisors (6767259168).

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

4044982272 is a wasteful number, since it uses less digits than its factorization.

4044982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4044982272 is about 63600.1750940986. The cubic root of 4044982272 is about 1593.3292938669.

The spelling of 4044982272 in words is "four billion, forty-four million, nine hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 571 768 1024 1142 1153 1536 1713 2048 2284 2306 3072 3426 3459 4568 4612 6144 6852 6918 9136 9224 13704 13836 18272 18448 27408 27672 36544 36896 54816 55344 73088 73792 109632 110688 146176 147584 219264 221376 292352 295168 438528 442752 584704 590336 658363 877056 885504 1169408 1180672 1316726 1754112 1771008 1975089 2361344 2633452 3508224 3542016 3950178 5266904 7084032 7900356 10533808 15800712 21067616 31601424 42135232 63202848 84270464 126405696 168540928 252811392 337081856 505622784 674163712 1011245568 1348327424 2022491136 4044982272