Search a number
-
+
5211445540 = 2257174746589
BaseRepresentation
bin1001101101010000…
…00101100100100100
3111110012020212022111
410312220011210210
541133112224130
62221043210404
7243100361530
oct46650054444
914405225274
105211445540
1122347a8194
121015376a04
136508c26b2
143761c2bc0
152077c202a
hex136a05924

5211445540 has 96 divisors (see below), whose sum is σ = 13525263360. Its totient is φ = 1645860864.

The previous prime is 5211445487. The next prime is 5211445573. The reversal of 5211445540 is 455441125.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 88566 + ... + 135154.

It is an arithmetic number, because the mean of its divisors is an integer number (140888160).

Almost surely, 25211445540 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 5211445540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762631680).

5211445540 is an abundant number, since it is smaller than the sum of its proper divisors (8313817820).

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

5211445540 is a wasteful number, since it uses less digits than its factorization.

5211445540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46669 (or 46667 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 5211445540 is about 72190.3424288873. The cubic root of 5211445540 is about 1733.7483785027.

Adding to 5211445540 its reverse (455441125), we get a palindrome (5666886665).

The spelling of 5211445540 in words is "five billion, two hundred eleven million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 329 340 470 476 595 658 799 940 1190 1316 1598 1645 2380 3196 3290 3995 5593 6580 7990 11186 15980 22372 27965 46589 55930 93178 111860 186356 232945 326123 465890 652246 792013 931780 1304492 1584026 1630615 2189683 3168052 3261230 3960065 4379366 5544091 6522460 7920130 8758732 10948415 11088182 15327781 15840260 21896830 22176364 27720455 30655562 37224611 43793660 55440910 61311124 74449222 76638905 110881820 148898444 153277810 186123055 260572277 306555620 372246110 521144554 744492220 1042289108 1302861385 2605722770 5211445540