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1968092352 = 263219179833
BaseRepresentation
bin111010101001110…
…1011010011000000
312002011022110011100
41311103223103000
513012312423402
6523143014400
766525336402
oct16523532300
95064273140
101968092352
1191aa33a06
1246b13a400
13254984cb5
14149550b72
15b7bad71c
hex754eb4c0

1968092352 has 84 divisors (see below), whose sum is σ = 5938118680. Its totient is φ = 621499392.

The previous prime is 1968092341. The next prime is 1968092353. The reversal of 1968092352 is 2532908691.

It is a junction number, because it is equal to n+sod(n) for n = 1968092298 and 1968092307.

It is not an unprimeable number, because it can be changed into a prime (1968092353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78973 + ... + 100860.

Almost surely, 21968092352 is an apocalyptic number.

1968092352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1968092352 is an abundant number, since it is smaller than the sum of its proper divisors (3970026328).

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

1968092352 is a wasteful number, since it uses less digits than its factorization.

1968092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179870 (or 179857 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1968092352 is about 44363.1869008528. The cubic root of 1968092352 is about 1253.1849132632.

The spelling of 1968092352 in words is "one billion, nine hundred sixty-eight million, ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 179833 359666 539499 719332 1078998 1438664 1618497 2157996 2877328 3236994 3416827 4315992 5754656 6473988 6833654 8631984 10250481 11509312 12947976 13667308 17263968 20500962 25895952 27334616 30751443 34527936 41001924 51791904 54669232 61502886 82003848 103583808 109338464 123005772 164007696 218676928 246011544 328015392 492023088 656030784 984046176 1968092352