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4290287328 = 253227495419
BaseRepresentation
bin1111111110111000…
…1001011011100000
3102001222221011210200
43333232021123200
532241303143303
61545415425200
7211213561215
oct37756113340
912058834720
104290287328
111901834408
129b8985200
13534acb672
142c9b19b0c
151a19b63a3
hexffb896e0

4290287328 has 72 divisors (see below), whose sum is σ = 12207195000. Its totient is φ = 1429311744.

The previous prime is 4290287321. The next prime is 4290287357. The reversal of 4290287328 is 8237820924.

4290287328 is a `hidden beast` number, since 42 + 9 + 0 + 287 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×42902873283 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290287321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789003 + ... + 794421.

It is an arithmetic number, because the mean of its divisors is an integer number (169544375).

Almost surely, 24290287328 is an apocalyptic number.

4290287328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4290287328 is an abundant number, since it is smaller than the sum of its proper divisors (7916907672).

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

4290287328 is a wasteful number, since it uses less digits than its factorization.

4290287328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4290287328 is about 65500.2849459451. The cubic root of 4290287328 is about 1624.9080598712.

The spelling of 4290287328 in words is "four billion, two hundred ninety million, two hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2749 5419 5498 8247 10838 10996 16257 16494 21676 21992 24741 32514 32988 43352 43984 48771 49482 65028 65976 86704 87968 97542 98964 130056 131952 173408 195084 197928 260112 263904 390168 395856 520224 780336 791712 1560672 14896831 29793662 44690493 59587324 89380986 119174648 134071479 178761972 238349296 268142958 357523944 476698592 536285916 715047888 1072571832 1430095776 2145143664 4290287328