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1663483392 = 293440111
BaseRepresentation
bin110001100100110…
…1011111000000000
311021221010201020000
41203021223320000
511401322432032
6433022120000
756136242544
oct14311537000
94257121200
101663483392
11783aa176a
123a5120000
132068323cc
1411acdba24
159b08de7c
hex6326be00

1663483392 has 100 divisors (see below), whose sum is σ = 4965183696. Its totient is φ = 554480640.

The previous prime is 1663483373. The next prime is 1663483429. The reversal of 1663483392 is 2933843661.

1663483392 is a `hidden beast` number, since 1 + 6 + 634 + 8 + 3 + 3 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 21417 + ... + 61527.

Almost surely, 21663483392 is an apocalyptic number.

1663483392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482591848).

1663483392 is an abundant number, since it is smaller than the sum of its proper divisors (3301700304).

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

1663483392 is an frugal number, since it uses more digits than its factorization.

1663483392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40141 (or 40116 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 1663483392 is about 40785.8234194187. The cubic root of 1663483392 is about 1184.8757825250.

The spelling of 1663483392 in words is "one billion, six hundred sixty-three million, four hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 40111 41472 80222 120333 160444 240666 320888 360999 481332 641776 721998 962664 1082997 1283552 1443996 1925328 2165994 2567104 2887992 3248991 3850656 4331988 5134208 5775984 6497982 7701312 8663976 10268416 11551968 12995964 15402624 17327952 20536832 23103936 25991928 30805248 34655904 46207872 51983856 61610496 69311808 92415744 103967712 138623616 184831488 207935424 277247232 415870848 554494464 831741696 1663483392