Search a number
-
+
1052024031 = 3537911423
BaseRepresentation
bin111110101101001…
…001110011011111
32201022120100200000
4332231021303133
54123304232111
6252220305343
735033025312
oct7655116337
92638510600
101052024031
1149a927253
122543a2253
13139c53936
149da10979
156255ac56
hex3eb49cdf

1052024031 has 24 divisors (see below), whose sum is σ = 1580167680. Its totient is φ = 699437592.

The previous prime is 1052024003. The next prime is 1052024033. The reversal of 1052024031 is 1304202501.

It is a de Polignac number, because none of the positive numbers 2k-1052024031 is a prime.

It is a super-2 number, since 2×10520240312 = 2213509123602977922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052023995 and 1052024013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052024033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86386 + ... + 97808.

It is an arithmetic number, because the mean of its divisors is an integer number (65840320).

Almost surely, 21052024031 is an apocalyptic number.

1052024031 is a deficient number, since it is larger than the sum of its proper divisors (528143649).

1052024031 is an equidigital number, since it uses as much as digits as its factorization.

1052024031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11817 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1052024031 is about 32434.9199320732. The cubic root of 1052024031 is about 1017.0490226193.

Adding to 1052024031 its reverse (1304202501), we get a palindrome (2356226532).

The spelling of 1052024031 in words is "one billion, fifty-two million, twenty-four thousand, thirty-one".

Divisors: 1 3 9 27 81 243 379 1137 3411 10233 11423 30699 34269 92097 102807 308421 925263 2775789 4329317 12987951 38963853 116891559 350674677 1052024031