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1648540242 = 23379386437
BaseRepresentation
bin110001001000010…
…1011101001010010
311020220000112002000
41202100223221102
511334011241432
6431325534430
755565234526
oct14220535122
94226015060
101648540242
11776615758
123a0114416
132036cc8cb
14118d2bd86
1599adb57c
hex6242ba52

1648540242 has 32 divisors (see below), whose sum is σ = 3709804800. Its totient is φ = 542556144.

The previous prime is 1648540241. The next prime is 1648540247. The reversal of 1648540242 is 2420458461.

1648540242 is a `hidden beast` number, since 1 + 648 + 5 + 4 + 0 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1648540197 and 1648540206.

It is not an unprimeable number, because it can be changed into a prime (1648540241) 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 15 ways as a sum of consecutive naturals, for example, 188953 + ... + 197484.

It is an arithmetic number, because the mean of its divisors is an integer number (115931400).

Almost surely, 21648540242 is an apocalyptic number.

1648540242 is an abundant number, since it is smaller than the sum of its proper divisors (2061264558).

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

1648540242 is a wasteful number, since it uses less digits than its factorization.

1648540242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386527 (or 386521 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1648540242 is about 40602.2196683876. The cubic root of 1648540242 is about 1181.3171737058.

The spelling of 1648540242 in words is "one billion, six hundred forty-eight million, five hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 386437 772874 1159311 2318622 3477933 6955866 10433799 20867598 30528523 61057046 91585569 183171138 274756707 549513414 824270121 1648540242