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640555542 = 2321131791321
BaseRepresentation
bin100110001011100…
…001101000010110
31122122022121000100
4212023201220112
52302440234132
6143321154530
721605426604
oct4613415026
91578277010
10640555542
112a9638950
1215a62ba46
13a2928263
1461102874
153b37e37c
hex262e1a16

640555542 has 96 divisors (see below), whose sum is σ = 1583861760. Its totient is φ = 185328000.

The previous prime is 640555541. The next prime is 640555609. The reversal of 640555542 is 245555046.

640555542 is a `hidden beast` number, since 64 + 0 + 5 + 55 + 542 = 666.

It is a super-2 number, since 2×6405555422 = 820622804773827528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640555497 and 640555506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640555541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 484242 + ... + 485562.

It is an arithmetic number, because the mean of its divisors is an integer number (16498560).

Almost surely, 2640555542 is an apocalyptic number.

640555542 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 640555542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791930880).

640555542 is an abundant number, since it is smaller than the sum of its proper divisors (943306218).

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

640555542 is a wasteful number, since it uses less digits than its factorization.

640555542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 640555542 is about 25309.1987625053. The cubic root of 640555542 is about 862.0231536821.

The spelling of 640555542 in words is "six hundred forty million, five hundred fifty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 79 93 99 158 186 198 237 279 341 474 558 682 711 869 1023 1321 1422 1738 2046 2449 2607 2642 3069 3963 4898 5214 6138 7347 7821 7926 11889 14531 14694 15642 22041 23778 26939 29062 40951 43593 44082 53878 80817 81902 87186 104359 122853 130779 161634 208718 242451 245706 261558 313077 368559 450461 484902 626154 737118 900922 939231 1147949 1351383 1878462 2295898 2702766 3235129 3443847 4054149 6470258 6887694 8108298 9705387 10331541 19410774 20663082 29116161 35586419 58232322 71172838 106759257 213518514 320277771 640555542