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5506382024 = 23111314273373
BaseRepresentation
bin1010010000011010…
…01011100011001000
3112012202020012002222
411020031023203020
542234113211044
62310220513212
7253311321623
oct51015134310
915182205088
105506382024
112376233350
1210980ab808
13699a39820
143a3438dba
152236308ee
hex14834b8c8

5506382024 has 64 divisors (see below), whose sum is σ = 12141541440. Its totient is φ = 2308066560.

The previous prime is 5506382023. The next prime is 5506382033. The reversal of 5506382024 is 4202836055.

It is a Cunningham number, because it is equal to 742052-1.

It is not an unprimeable number, because it can be changed into a prime (5506382023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1630802 + ... + 1634174.

It is an arithmetic number, because the mean of its divisors is an integer number (189711585).

Almost surely, 25506382024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506382024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070770720).

5506382024 is an abundant number, since it is smaller than the sum of its proper divisors (6635159416).

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

5506382024 is a wasteful number, since it uses less digits than its factorization.

5506382024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5506382024 is about 74204.9999932619. Note that the first 5 decimals coincide. The cubic root of 5506382024 is about 1765.8566542920.

The spelling of 5506382024 in words is "five billion, five hundred six million, three hundred eighty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1427 2854 3373 5708 6746 11416 13492 15697 18551 26984 31394 37102 37103 43849 62788 74204 74206 87698 125576 148408 148412 175396 204061 296824 350792 408122 482339 816244 964678 1632488 1929356 3858712 4813271 9626542 19253084 38506168 52945981 62572523 105891962 125145046 211783924 250290092 423567848 500580184 688297753 1376595506 2753191012 5506382024