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5557829440 = 26518195957
BaseRepresentation
bin1010010110100010…
…11011111101000000
3112100100000222200211
411023101123331000
542340301020230
62315255323504
7254504525242
oct51321337500
915310028624
105557829440
1123a2282579
1210b1380594
136a75b0997
143aa1cc092
15227de442a
hex14b45bf40

5557829440 has 56 divisors (see below), whose sum is σ = 13307839272. Its totient is φ = 2210826240.

The previous prime is 5557829437. The next prime is 5557829443. The reversal of 5557829440 is 449287555.

It is an interprime number because it is at equal distance from previous prime (5557829437) and next prime (5557829443).

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 5555615296 = 1488^2 + 74536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5557829443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9942 + ... + 105898.

It is an arithmetic number, because the mean of its divisors is an integer number (237639987).

Almost surely, 25557829440 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 5557829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653919636).

5557829440 is an abundant number, since it is smaller than the sum of its proper divisors (7750009832).

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

5557829440 is a wasteful number, since it uses less digits than its factorization.

5557829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96155 (or 96145 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The square root of 5557829440 is about 74550.8513700548. The cubic root of 5557829440 is about 1771.3392186237.

The spelling of 5557829440 in words is "five billion, five hundred fifty-seven million, eight hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1810 2896 3620 5792 7240 11584 14480 28960 57920 95957 191914 383828 479785 767656 959570 1535312 1919140 3070624 3838280 6141248 7676560 15353120 17368217 30706240 34736434 69472868 86841085 138945736 173682170 277891472 347364340 555782944 694728680 1111565888 1389457360 2778914720 5557829440