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4492988928 = 29325318397
BaseRepresentation
bin1000010111100110…
…11001001000000000
3102121010100111010100
410023303121020000
533200201121203
62021500202400
7216224530041
oct41363311000
912533314110
104492988928
1119a61a209a
12a54839400
13567ac053c
14308a028c8
151b46a5ea3
hex10bcd9200

4492988928 has 120 divisors (see below), whose sum is σ = 13212450108. Its totient is φ = 1469325312.

The previous prime is 4492988917. The next prime is 4492988947. The reversal of 4492988928 is 8298892944.

4492988928 is a `hidden beast` number, since 449 + 2 + 98 + 89 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3959933184 + 533055744 = 62928^2 + 23088^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235026 + ... + 253422.

Almost surely, 24492988928 is an apocalyptic number.

4492988928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606225054).

4492988928 is an abundant number, since it is smaller than the sum of its proper divisors (8719461180).

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

4492988928 is a wasteful number, since it uses less digits than its factorization.

4492988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18474 (or 18455 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 4492988928 is about 67029.7615093475. The cubic root of 4492988928 is about 1650.1057695283.

The spelling of 4492988928 in words is "four billion, four hundred ninety-two million, nine hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 15264 18397 20352 27136 30528 36794 40704 55191 61056 73588 81408 110382 122112 147176 165573 220764 244224 294352 331146 441528 588704 662292 883056 975041 1177408 1324584 1766112 1950082 2354816 2649168 2925123 3532224 3900164 4709632 5298336 5850246 7064448 7800328 8775369 9419264 10596672 11700492 14128896 15600656 17550738 21193344 23400984 28257792 31201312 35101476 42386688 46801968 62402624 70202952 84773376 93603936 124805248 140405904 187207872 249610496 280811808 374415744 499220992 561623616 748831488 1123247232 1497662976 2246494464 4492988928