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1352275038 = 232374149523
BaseRepresentation
bin101000010011010…
…0001010001011110
310111020112200121200
41100212201101132
510232140300123
6342103540330
745340101552
oct12046412136
93436480550
101352275038
11634362284
12318a5a6a6
1318720ba5a
14cb84b862
157dab9143
hex509a145e

1352275038 has 48 divisors (see below), whose sum is σ = 3082571856. Its totient is φ = 427870080.

The previous prime is 1352275027. The next prime is 1352275109. The reversal of 1352275038 is 8305722531.

It is a happy number.

1352275038 is a `hidden beast` number, since 1 + 352 + 275 + 0 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1352274993 and 1352275011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2545 + ... + 52067.

It is an arithmetic number, because the mean of its divisors is an integer number (64220247).

Almost surely, 21352275038 is an apocalyptic number.

1352275038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352275038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541285928).

1352275038 is an abundant number, since it is smaller than the sum of its proper divisors (1730296818).

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

1352275038 is a wasteful number, since it uses less digits than its factorization.

1352275038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49609 (or 49606 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1352275038 is about 36773.2924552589. The cubic root of 1352275038 is about 1105.8299390703.

Adding to 1352275038 its reverse (8305722531), we get a palindrome (9657997569).

The spelling of 1352275038 in words is "one billion, three hundred fifty-two million, two hundred seventy-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 3034 4551 9102 13653 27306 49523 99046 148569 297138 445707 891414 1832351 2030443 3664702 4060886 5497053 6091329 10994106 12182658 16491159 18273987 32982318 36547974 75126391 150252782 225379173 450758346 676137519 1352275038