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5082693952 = 26721985303
BaseRepresentation
bin1001011101111001…
…11100000101000000
3111010012222121100011
410232330330011000
540402132201302
62200203434304
7236645120500
oct45674740500
914105877304
105082693952
112179059216
12b9a225994
1363002321b
14363069a00
151eb33d5d7
hex12ef3c140

5082693952 has 84 divisors (see below), whose sum is σ = 12350313120. Its totient is φ = 2063625984.

The previous prime is 5082693947. The next prime is 5082693997. The reversal of 5082693952 is 2593962805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 5082693896 and 5082693905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16933 + ... + 102235.

Almost surely, 25082693952 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 5082693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175156560).

5082693952 is an abundant number, since it is smaller than the sum of its proper divisors (7267619168).

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

5082693952 is a wasteful number, since it uses less digits than its factorization.

5082693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85348 (or 85331 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The square root of 5082693952 is about 71293.0147489921. The cubic root of 5082693952 is about 1719.3514266419.

The spelling of 5082693952 in words is "five billion, eighty-two million, six hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 392 448 532 608 784 931 1064 1216 1568 1862 2128 3136 3724 4256 7448 8512 14896 29792 59584 85303 170606 341212 597121 682424 1194242 1364848 1620757 2388484 2729696 3241514 4179847 4776968 5459392 6483028 8359694 9553936 11345299 12966056 16719388 19107872 22690598 25932112 33438776 38215744 45381196 51864224 66877552 79417093 90762392 103728448 133755104 158834186 181524784 267510208 317668372 363049568 635336744 726099136 1270673488 2541346976 5082693952