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4494032640 = 28325390107
BaseRepresentation
bin1000010111101110…
…10111111100000000
3102121012022111211100
410023313113330000
533200433021030
62021534414400
7216236434656
oct41367277400
912535274740
104494032640
1119a6845269
12a55061400
13568097616
14308bd4dd6
151b4810360
hex10bdd7f00

4494032640 has 108 divisors (see below), whose sum is σ = 15548924664. Its totient is φ = 1198405632.

The previous prime is 4494032633. The next prime is 4494032677. The reversal of 4494032640 is 462304944.

4494032640 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 0 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4494032595 and 4494032604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183534 + ... + 206573.

Almost surely, 24494032640 is an apocalyptic number.

4494032640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4494032640 is an abundant number, since it is smaller than the sum of its proper divisors (11054892024).

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

4494032640 is a wasteful number, since it uses less digits than its factorization.

4494032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390134 (or 390117 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4494032640 is about 67037.5464944832. The cubic root of 4494032640 is about 1650.2335316840.

The spelling of 4494032640 in words is "four billion, four hundred ninety-four million, thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 390107 780214 1170321 1560428 1950535 2340642 3120856 3510963 3901070 4681284 5851605 6241712 7021926 7802140 9362568 11703210 12483424 14043852 15604280 17554815 18725136 23406420 24966848 28087704 31208560 35109630 37450272 46812840 49933696 56175408 62417120 70219260 74900544 93625680 99867392 112350816 124834240 140438520 149801088 187251360 224701632 249668480 280877040 299602176 374502720 449403264 499336960 561754080 749005440 898806528 1123508160 1498010880 2247016320 4494032640