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1799408968 = 237216727487
BaseRepresentation
bin110101101000000…
…1100110101001000
311122101220110001121
41223100030311020
512141122041333
6454315325024
762406503200
oct15320146510
94571813047
101799408968
118437a0655
12422750774
13228a44046
14130da1400
15a7e8d32d
hex6b40cd48

1799408968 has 48 divisors (see below), whose sum is σ = 3948376320. Its totient is φ = 766529568.

The previous prime is 1799408957. The next prime is 1799408971. The reversal of 1799408968 is 8698049971.

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 11 ways as a sum of consecutive naturals, for example, 51721 + ... + 79207.

It is an arithmetic number, because the mean of its divisors is an integer number (82257840).

Almost surely, 21799408968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1799408968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974188160).

1799408968 is an abundant number, since it is smaller than the sum of its proper divisors (2148967352).

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

1799408968 is a wasteful number, since it uses less digits than its factorization.

1799408968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27674 (or 27663 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The square root of 1799408968 is about 42419.4409204082. The cubic root of 1799408968 is about 1216.3072446876.

The spelling of 1799408968 in words is "one billion, seven hundred ninety-nine million, four hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 392 668 1169 1336 2338 4676 8183 9352 16366 27487 32732 54974 65464 109948 192409 219896 384818 769636 1346863 1539272 2693726 4590329 5387452 9180658 10774904 18361316 32132303 36722632 64264606 128529212 224926121 257058424 449852242 899704484 1799408968