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4395253984 = 2511176112041
BaseRepresentation
bin1000001011111101…
…00100000011100000
3102100022110000222121
410011332210003200
533000141111414
62004045314024
7213630020362
oct40576440340
912308400877
104395253984
111956008410
12a27b65914
13550790a04
142d9a40d32
151aacec724
hex105fa40e0

4395253984 has 96 divisors (see below), whose sum is σ = 10159787232. Its totient is φ = 1849344000.

The previous prime is 4395253963. The next prime is 4395254027. The reversal of 4395253984 is 4893525934.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359004 + ... + 371044.

It is an arithmetic number, because the mean of its divisors is an integer number (105831117).

Almost surely, 24395253984 is an apocalyptic number.

4395253984 is a gapful number since it is divisible by the number (44) 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 4395253984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079893616).

4395253984 is an abundant number, since it is smaller than the sum of its proper divisors (5764533248).

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

4395253984 is a wasteful number, since it uses less digits than its factorization.

4395253984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 12132 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The square root of 4395253984 is about 66296.7117133271. The cubic root of 4395253984 is about 1638.0531607772.

The spelling of 4395253984 in words is "four billion, three hundred ninety-five million, two hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 61 68 88 122 136 176 187 244 272 352 374 488 544 671 748 976 1037 1342 1496 1952 2074 2684 2992 4148 5368 5984 8296 10736 11407 12041 16592 21472 22814 24082 33184 45628 48164 91256 96328 132451 182512 192656 204697 264902 365024 385312 409394 529804 734501 818788 1059608 1469002 1637576 2119216 2251667 2938004 3275152 4238432 4503334 5876008 6550304 8079511 9006668 11752016 12486517 16159022 18013336 23504032 24973034 32318044 36026672 49946068 64636088 72053344 99892136 129272176 137351687 199784272 258544352 274703374 399568544 549406748 1098813496 2197626992 4395253984