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1648792890 = 232537495133
BaseRepresentation
bin110001001000110…
…1001010100111010
311020220111100122100
41202101221110322
511334042333030
6431335204230
755600336233
oct14221512472
94226440570
101648792890
11776778558
123a0216676
1320378a8c4
14118d9608a
1599b3b360
hex6246953a

1648792890 has 48 divisors (see below), whose sum is σ = 4402731528. Its totient is φ = 427794048.

The previous prime is 1648792829. The next prime is 1648792897. The reversal of 1648792890 is 982978461.

It can be written as a sum of positive squares in 4 ways, for example, as 1648278801 + 514089 = 40599^2 + 717^2 .

It is a super-2 number, since 2×16487928902 = 5437035988229104200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1648792897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244237 + ... + 250896.

Almost surely, 21648792890 is an apocalyptic number.

1648792890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1648792890 is an abundant number, since it is smaller than the sum of its proper divisors (2753938638).

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

1648792890 is a wasteful number, since it uses less digits than its factorization.

1648792890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495183 (or 495180 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1648792890 is about 40605.3308076661. The cubic root of 1648792890 is about 1181.3775184416.

The spelling of 1648792890 in words is "one billion, six hundred forty-eight million, seven hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 495133 990266 1485399 2475665 2970798 4456197 4951330 7426995 8912394 14853990 18319921 22280985 36639842 44561970 54959763 91599605 109919526 164879289 183199210 274798815 329758578 549597630 824396445 1648792890