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645642480 = 243572271693
BaseRepresentation
bin100110011110111…
…011100011110000
31122222220000222110
4212132323203300
52310241024410
6144022205320
721666604410
oct4636734360
91588800873
10645642480
113014a282a
12160283840
13a39b9792
1461a68640
153ba36720
hex267bb8f0

645642480 has 160 divisors (see below), whose sum is σ = 2298852864. Its totient is φ = 146838528.

The previous prime is 645642469. The next prime is 645642493. The reversal of 645642480 is 84246546.

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 31 ways as a sum of consecutive naturals, for example, 380514 + ... + 382206.

Almost surely, 2645642480 is an apocalyptic number.

645642480 is a gapful number since it is divisible by the number (60) 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 645642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149426432).

645642480 is an abundant number, since it is smaller than the sum of its proper divisors (1653210384).

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

645642480 is a wasteful number, since it uses less digits than its factorization.

645642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 645642480 is about 25409.4958627675. The cubic root of 645642480 is about 864.2990434325.

The spelling of 645642480 in words is "six hundred forty-five million, six hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 227 240 280 336 420 454 560 681 840 908 1135 1362 1589 1680 1693 1816 2270 2724 3178 3386 3405 3632 4540 4767 5079 5448 6356 6772 6810 7945 8465 9080 9534 10158 10896 11851 12712 13544 13620 15890 16930 18160 19068 20316 23702 23835 25395 25424 27088 27240 31780 33860 35553 38136 40632 47404 47670 50790 54480 59255 63560 67720 71106 76272 81264 94808 95340 101580 118510 127120 135440 142212 177765 189616 190680 203160 237020 284424 355530 381360 384311 406320 474040 568848 711060 768622 948080 1152933 1422120 1537244 1921555 2305866 2690177 2844240 3074488 3843110 4611732 5380354 5764665 6148976 7686220 8070531 9223464 10760708 11529330 13450885 15372440 16141062 18446928 21521416 23058660 26901770 30744880 32282124 40352655 43042832 46117320 53803540 64564248 80705310 92234640 107607080 129128496 161410620 215214160 322821240 645642480