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5502782272 = 261318136541
BaseRepresentation
bin1010001111111110…
…11100101101000000
3112012111110022011211
411013333130231000
542232203013042
62310011415504
7253235610001
oct50777345500
915174408154
105502782272
1123741a4849
121096a54594
136990791b0
143a2b7d1a8
1522316e017
hex147fdcb40

5502782272 has 56 divisors (see below), whose sum is σ = 11824845032. Its totient is φ = 2525644800.

The previous prime is 5502782251. The next prime is 5502782273. The reversal of 5502782272 is 2722872055.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 5395783936 = 10344^2 + 73456^2 .

It is a super-2 number, since 2×55027822722 = 60561225466074963968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5502782273) 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, 132322 + ... + 168862.

It is an arithmetic number, because the mean of its divisors is an integer number (211157947).

Almost surely, 25502782272 is an apocalyptic number.

5502782272 is a gapful number since it is divisible by the number (52) 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 5502782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912422516).

5502782272 is an abundant number, since it is smaller than the sum of its proper divisors (6322062760).

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

5502782272 is a wasteful number, since it uses less digits than its factorization.

5502782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36747 (or 36737 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 5502782272 is about 74180.7405732782. The cubic root of 5502782272 is about 1765.4717656483.

The spelling of 5502782272 in words is "five billion, five hundred two million, seven hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 181 208 362 416 724 832 1448 2353 2896 4706 5792 9412 11584 18824 36541 37648 73082 75296 146164 150592 292328 475033 584656 950066 1169312 1900132 2338624 3800264 6613921 7600528 13227842 15201056 26455684 30402112 52911368 85980973 105822736 171961946 211645472 343923892 423290944 687847784 1375695568 2751391136 5502782272