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4190468352 = 2837779477
BaseRepresentation
bin1111100111000101…
…0111100100000000
3101211001002211220120
43321301113210000
532040224441402
61531452140240
7205562251620
oct37161274400
911731084816
104190468352
111860456994
1298b467680
1351a21c395
142ba774880
15197d4a3bc
hexf9c57900

4190468352 has 72 divisors (see below), whose sum is σ = 12746024256. Its totient is φ = 1197275136.

The previous prime is 4190468341. The next prime is 4190468407. The reversal of 4190468352 is 2538640914.

It is a super-2 number, since 2×41904683522 = 35120050018227191808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384363 + ... + 395114.

Almost surely, 24190468352 is an apocalyptic number.

4190468352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4190468352 is an abundant number, since it is smaller than the sum of its proper divisors (8555555904).

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

4190468352 is an equidigital number, since it uses as much as digits as its factorization.

4190468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779503 (or 779489 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4190468352 is about 64733.8269531471. The cubic root of 4190468352 is about 1612.2071950526.

The spelling of 4190468352 in words is "four billion, one hundred ninety million, four hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 779477 1558954 2338431 3117908 4676862 5456339 6235816 9353724 10912678 12471632 16369017 18707448 21825356 24943264 32738034 37414896 43650712 49886528 65476068 74829792 87301424 99773056 130952136 149659584 174602848 199546112 261904272 299319168 349205696 523808544 598638336 698411392 1047617088 1396822784 2095234176 4190468352