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5441648508 = 22322910151607
BaseRepresentation
bin1010001000101100…
…01111011101111100
3112001020102101102100
411010112033131330
542121030223013
62255545225100
7251564151312
oct50426173574
915036371370
105441648508
11234273a07a
12107a492190
136894c317a
143989c80b2
1521cae5473
hex14458f77c

5441648508 has 72 divisors (see below), whose sum is σ = 14370763680. Its totient is φ = 1733961600.

The previous prime is 5441648503. The next prime is 5441648539. The reversal of 5441648508 is 8058461445.

It is a happy number.

5441648508 is a `hidden beast` number, since 544 + 16 + 48 + 50 + 8 = 666.

It is a super-2 number, since 2×54416485082 = 59223076969237252128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441648503) 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, 79641 + ... + 131247.

It is an arithmetic number, because the mean of its divisors is an integer number (199593940).

Almost surely, 25441648508 is an apocalyptic number.

5441648508 is a gapful number since it is divisible by the number (58) 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 5441648508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185381840).

5441648508 is an abundant number, since it is smaller than the sum of its proper divisors (8929115172).

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

5441648508 is a wasteful number, since it uses less digits than its factorization.

5441648508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51747 (or 51742 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5441648508 is about 73767.5301741898. The cubic root of 5441648508 is about 1758.9095031000.

The spelling of 5441648508 in words is "five billion, four hundred forty-one million, six hundred forty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 261 303 348 404 522 606 909 1044 1212 1818 2929 3636 5858 8787 11716 17574 26361 35148 51607 52722 103214 105444 154821 206428 309642 464463 619284 928926 1496603 1857852 2993206 4489809 5212307 5986412 8979618 10424614 13469427 15636921 17959236 20849228 26938854 31273842 46910763 53877708 62547684 93821526 151156903 187643052 302313806 453470709 604627612 906941418 1360412127 1813882836 2720824254 5441648508