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4690097328 = 243726133253
BaseRepresentation
bin1000101111000110…
…10011010010110000
3110002212020122000110
410113203103102300
534101131103303
62053221021320
7224140112100
oct42743232260
913085218013
104690097328
111a9748a5a4
12aaa854840
135998a4627
14326c71200
151c6b3d703
hex1178d34b0

4690097328 has 120 divisors (see below), whose sum is σ = 14121553008. Its totient is φ = 1337430528.

The previous prime is 4690097317. The next prime is 4690097387. The reversal of 4690097328 is 8237900964.

It is a super-2 number, since 2×46900973282 = 43994025892225479168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440150 + ... + 1443402.

Almost surely, 24690097328 is an apocalyptic number.

4690097328 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 4690097328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060776504).

4690097328 is an abundant number, since it is smaller than the sum of its proper divisors (9431455680).

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

4690097328 is a wasteful number, since it uses less digits than its factorization.

4690097328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 4690097328 is about 68484.2852631171. The cubic root of 4690097328 is about 1673.8914269212.

The spelling of 4690097328 in words is "four billion, six hundred ninety million, ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 613 784 1176 1226 1839 2352 2452 3253 3678 4291 4904 6506 7356 8582 9759 9808 12873 13012 14712 17164 19518 22771 25746 26024 29424 30037 34328 39036 45542 51492 52048 60074 68313 68656 78072 90111 91084 102984 120148 136626 156144 159397 180222 182168 205968 240296 273252 318794 360444 364336 478191 480592 546504 637588 720888 956382 1093008 1275176 1441776 1912764 1994089 2550352 3825528 3988178 5982267 7651056 7976356 11964534 13958623 15952712 23929068 27917246 31905424 41875869 47858136 55834492 83751738 95716272 97710361 111668984 167503476 195420722 223337968 293131083 335006952 390841444 586262166 670013904 781682888 1172524332 1563365776 2345048664 4690097328