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4431484928 = 21113179791
BaseRepresentation
bin1000010000010001…
…10001100000000000
3102102211121202111102
410020020301200000
533033430004203
62011422033532
7214550000063
oct41010614000
912384552442
104431484928
111974504242
12a381188a8
13558137b40
143007928da
151ae0a7888
hex108231800

4431484928 has 96 divisors (see below), whose sum is σ = 10104756480. Its totient is φ = 1924792320.

The previous prime is 4431484907. The next prime is 4431484943. The reversal of 4431484928 is 8294841344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447713 + ... + 457503.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880).

Almost surely, 24431484928 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 4431484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

4431484928 is an abundant number, since it is smaller than the sum of its proper divisors (5673271552).

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

4431484928 is a wasteful number, since it uses less digits than its factorization.

4431484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9823 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 4431484928 is about 66569.3993363317. The cubic root of 4431484928 is about 1642.5417813267.

The spelling of 4431484928 in words is "four billion, four hundred thirty-one million, four hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1024 1088 1664 1768 2048 2176 3328 3536 4352 6656 7072 8704 9791 13312 14144 17408 19582 26624 28288 34816 39164 56576 78328 113152 127283 156656 166447 226304 254566 313312 332894 452608 509132 626624 665788 1018264 1253248 1331576 2036528 2163811 2506496 2663152 4073056 4327622 5012992 5326304 8146112 8655244 10025984 10652608 16292224 17310488 20051968 21305216 32584448 34620976 42610432 65168896 69241952 85220864 130337792 138483904 170441728 260675584 276967808 340883456 553935616 1107871232 2215742464 4431484928