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5340461526 = 2323752115391
BaseRepresentation
bin1001111100101000…
…01111100111010110
3111210012000112222100
410332110033213112
541414124232101
62241532342530
7246225113451
oct47624174726
914705015870
105340461526
1122a0607874
121050614a46
1367155530a
143893a8498
15213ca8e86
hex13e50f9d6

5340461526 has 48 divisors (see below), whose sum is σ = 11907312768. Its totient is φ = 1728604800.

The previous prime is 5340461521. The next prime is 5340461561. The reversal of 5340461526 is 6251640435.

5340461526 is a `hidden beast` number, since 5 + 34 + 0 + 4 + 615 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340461521) 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 23 ways as a sum of consecutive naturals, for example, 339291 + ... + 354681.

It is an arithmetic number, because the mean of its divisors is an integer number (248069016).

Almost surely, 25340461526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340461526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953656384).

5340461526 is an abundant number, since it is smaller than the sum of its proper divisors (6566851242).

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

5340461526 is a wasteful number, since it uses less digits than its factorization.

5340461526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957 (or 15954 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5340461526 is about 73078.4614370062. The cubic root of 5340461526 is about 1747.9389641845.

The spelling of 5340461526 in words is "five billion, three hundred forty million, four hundred sixty-one thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 521 666 1042 1563 3126 4689 9378 15391 19277 30782 38554 46173 57831 92346 115662 138519 173493 277038 346986 569467 1138934 1708401 3416802 5125203 8018711 10250406 16037422 24056133 48112266 72168399 144336798 296692307 593384614 890076921 1780153842 2670230763 5340461526