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1933069952 = 27119411459
BaseRepresentation
bin111001100111000…
…0100111010000000
311222201102010110102
41303032010322000
512424331214302
6515452221532
765621552312
oct16316047200
94881363412
101933069952
11902193080
1245b46a8a8
1324a641c98
14144a357b2
15b4a91702
hex73384e80

1933069952 has 64 divisors (see below), whose sum is σ = 4208479200. Its totient is φ = 877132800.

The previous prime is 1933069877. The next prime is 1933069967. The reversal of 1933069952 is 2599603391.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1933069897 and 1933069906.

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 7 ways as a sum of consecutive naturals, for example, 1324199 + ... + 1325657.

Almost surely, 21933069952 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 1933069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104239600).

1933069952 is an abundant number, since it is smaller than the sum of its proper divisors (2275409248).

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

1933069952 is a wasteful number, since it uses less digits than its factorization.

1933069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 47.

The square root of 1933069952 is about 43966.6913924621. The cubic root of 1933069952 is about 1245.7068618120.

The spelling of 1933069952 in words is "one billion, nine hundred thirty-three million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 941 1408 1459 1882 2918 3764 5836 7528 10351 11672 15056 16049 20702 23344 30112 32098 41404 46688 60224 64196 82808 93376 120448 128392 165616 186752 256784 331232 513568 662464 1027136 1324928 1372919 2054272 2745838 5491676 10983352 15102109 21966704 30204218 43933408 60408436 87866816 120816872 175733632 241633744 483267488 966534976 1933069952