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1648533640 = 2351313732309
BaseRepresentation
bin110001001000010…
…1010000010001000
311020220000012000111
41202100222002020
511334011034030
6431325444104
755565206345
oct14220520210
94226005014
101648533640
117766107a6
123a0110634
132036c98c0
14118d297cc
1599ad962a
hex6242a088

1648533640 has 64 divisors (see below), whose sum is σ = 3999164400. Its totient is φ = 607982592.

The previous prime is 1648533599. The next prime is 1648533641. The reversal of 1648533640 is 463358461.

It can be written as a sum of positive squares in 8 ways, for example, as 1227381156 + 421152484 = 35034^2 + 20522^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1648533593 and 1648533602.

It is not an unprimeable number, because it can be changed into a prime (1648533641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712806 + ... + 715114.

Almost surely, 21648533640 is an apocalyptic number.

1648533640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1648533640 is an abundant number, since it is smaller than the sum of its proper divisors (2350630760).

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

1648533640 is a wasteful number, since it uses less digits than its factorization.

1648533640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 1648533640 is about 40602.1383673323. The cubic root of 1648533640 is about 1181.3155967417.

The spelling of 1648533640 in words is "one billion, six hundred forty-eight million, five hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1373 2309 2746 4618 5492 6865 9236 10984 11545 13730 17849 18472 23090 27460 30017 35698 46180 54920 60034 71396 89245 92360 120068 142792 150085 178490 240136 300170 356980 600340 713960 1200680 3170257 6340514 12681028 15851285 25362056 31702570 41213341 63405140 82426682 126810280 164853364 206066705 329706728 412133410 824266820 1648533640