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1052023933 = 23263173917
BaseRepresentation
bin111110101101001…
…001110001111101
32201022120100112101
4332231021301331
54123304231213
6252220305101
735033025112
oct7655116175
92638510471
101052023933
1149a927174
122543a2191
13139c5388c
149da10909
156255abdd
hex3eb49c7d

1052023933 has 8 divisors (see below), whose sum is σ = 1101944448. Its totient is φ = 1002451824.

The previous prime is 1052023909. The next prime is 1052023949. The reversal of 1052023933 is 3393202501.

It is the 13242-nd star number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1052023933 - 217 = 1051892861 is a prime.

It is a super-2 number, since 2×10520239332 = 2213508711209576978, which contains 22 as substring.

It is a Duffinian number.

1052023933 is a modest number, since divided by 23933 gives 1052 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052023993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80910 + ... + 93007.

It is an arithmetic number, because the mean of its divisors is an integer number (137743056).

Almost surely, 21052023933 is an apocalyptic number.

It is an amenable number.

1052023933 is a deficient number, since it is larger than the sum of its proper divisors (49920515).

1052023933 is a wasteful number, since it uses less digits than its factorization.

1052023933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174203.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 1052023933 is about 32434.9184213557. The cubic root of 1052023933 is about 1017.0489910386.

It can be divided in two parts, 10520 and 23933, that added together give a triangular number (34453 = T262).

The spelling of 1052023933 in words is "one billion, fifty-two million, twenty-three thousand, nine hundred thirty-three".

Divisors: 1 23 263 6049 173917 4000091 45740171 1052023933