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1358208544 = 25711250111
BaseRepresentation
bin101000011110100…
…1001111000100000
310111122201010212011
41100331021320200
510240200133134
6342435042304
745441403450
oct12075117040
93448633764
101358208544
11637745200
1231aa40394
131885086c4
14cc553d60
157e38c264
hex50f49e20

1358208544 has 72 divisors (see below), whose sum is σ = 3359107584. Its totient is φ = 529161600.

The previous prime is 1358208541. The next prime is 1358208571. The reversal of 1358208544 is 4458028531.

It is a junction number, because it is equal to n+sod(n) for n = 1358208497 and 1358208506.

It is not an unprimeable number, because it can be changed into a prime (1358208541) 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 11 ways as a sum of consecutive naturals, for example, 2049 + ... + 52159.

It is an arithmetic number, because the mean of its divisors is an integer number (46654272).

Almost surely, 21358208544 is an apocalyptic number.

1358208544 is a gapful number since it is divisible by the number (14) 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 1358208544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679553792).

1358208544 is an abundant number, since it is smaller than the sum of its proper divisors (2000899040).

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

1358208544 is a wasteful number, since it uses less digits than its factorization.

1358208544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50150 (or 50131 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 1358208544 is about 36853.8809896597. The cubic root of 1358208544 is about 1107.4449643563. Note that the first 3 decimals are identical.

It can be divided in two parts, 1358 and 208544, that added together give a palindrome (209902).

The spelling of 1358208544 in words is "one billion, three hundred fifty-eight million, two hundred eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 50111 100222 200444 350777 400888 551221 701554 801776 1102442 1403108 1603552 2204884 2806216 3858547 4409768 5612432 6063431 7717094 8819536 11224864 12126862 15434188 17639072 24253724 30868376 42444017 48507448 61736752 84888034 97014896 123473504 169776068 194029792 339552136 679104272 1358208544