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5348825052 = 2231926987211
BaseRepresentation
bin1001111101101000…
…01001011111011100
3111210202202110120120
410332310021133130
541423244400202
62242431514540
7246356156064
oct47664113734
914722673516
105348825052
1122a52aa47a
121053388a50
136731c304c
1438a5443a4
152148ac0bc
hex13ed097dc

5348825052 has 48 divisors (see below), whose sum is σ = 13186454400. Its totient is φ = 1682804160.

The previous prime is 5348825017. The next prime is 5348825057. The reversal of 5348825052 is 2505288435.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5348824995 and 5348825013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348825057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17727 + ... + 104937.

It is an arithmetic number, because the mean of its divisors is an integer number (274717800).

Almost surely, 25348825052 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 5348825052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593227200).

5348825052 is an abundant number, since it is smaller than the sum of its proper divisors (7837629348).

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

5348825052 is a wasteful number, since it uses less digits than its factorization.

5348825052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87506 (or 87504 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 5348825052 is about 73135.6619714350. The cubic root of 5348825052 is about 1748.8509520417.

The spelling of 5348825052 in words is "five billion, three hundred forty-eight million, eight hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 269 538 807 1076 1614 3228 5111 10222 15333 20444 30666 61332 87211 174422 261633 348844 523266 1046532 1657009 3314018 4971027 6628036 9942054 19884108 23459759 46919518 70379277 93839036 140758554 281517108 445735421 891470842 1337206263 1782941684 2674412526 5348825052