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1052386038 = 232119835407
BaseRepresentation
bin111110101110100…
…010001011110110
32201100020202020200
4332232202023312
54123402323123
6252232141330
735036063604
oct7656421366
92640222220
101052386038
114a0054230
12254537846
1313a04c642
149daa6874
15625cd143
hex3eba22f6

1052386038 has 48 divisors (see below), whose sum is σ = 2490448896. Its totient is φ = 318521520.

The previous prime is 1052386019. The next prime is 1052386043. The reversal of 1052386038 is 8306832501.

1052386038 is a `hidden beast` number, since 10 + 5 + 2 + 38 + 603 + 8 = 666.

It is a super-3 number, since 3×10523860383 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1052385993 and 1052386011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191931 + ... + 197337.

It is an arithmetic number, because the mean of its divisors is an integer number (51884352).

Almost surely, 21052386038 is an apocalyptic number.

1052386038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1052386038 is an abundant number, since it is smaller than the sum of its proper divisors (1438062858).

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

1052386038 is a wasteful number, since it uses less digits than its factorization.

1052386038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1052386038 is about 32440.4999653211. The cubic root of 1052386038 is about 1017.1656665463.

The spelling of 1052386038 in words is "one billion, fifty-two million, three hundred eighty-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 983 1966 2949 5407 5898 8847 10813 10814 16221 17694 21626 32439 32442 48663 59477 64878 97317 97326 118954 178431 194634 356862 535293 1070586 5315081 10630162 15945243 31890486 47835729 58465891 95671458 116931782 175397673 350795346 526193019 1052386038