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1052136624 = 243721123697
BaseRepresentation
bin111110101101100…
…101010010110000
32201022210002010010
4332231211102300
54123321332444
6252222534520
735034004500
oct7655452260
92638702103
101052136624
1149a9a3900
12254437440
13139c92c66
149da3da00
156257e2b9
hex3eb654b0

1052136624 has 180 divisors, whose sum is σ = 3476282712. Its totient is φ = 273208320.

The previous prime is 1052136623. The next prime is 1052136697. The reversal of 1052136624 is 4266312501.

It is a super-2 number, since 2×10521366242 = 2213982951124234752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052136591 and 1052136600.

It is not an unprimeable number, because it can be changed into a prime (1052136623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282744 + ... + 286440.

Almost surely, 21052136624 is an apocalyptic number.

1052136624 is a gapful number since it is divisible by the number (14) 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 1052136624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738141356).

1052136624 is an abundant number, since it is smaller than the sum of its proper divisors (2424146088).

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

1052136624 is a wasteful number, since it uses less digits than its factorization.

1052136624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1052136624 is about 32436.6555612628. The cubic root of 1052136624 is about 1017.0853045901.

The spelling of 1052136624 in words is "one billion, fifty-two million, one hundred thirty-six thousand, six hundred twenty-four".