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5120280828 = 22321344324697
BaseRepresentation
bin1001100010011000…
…10100100011111100
3111012211201012211200
410301030110203330
540441242441303
62204025215500
7240612445305
oct46114244374
914184635750
105120280828
1121982a0853
12baa931590
13637a53590
143680517ac
151ee7b53a3
hex1313148fc

5120280828 has 72 divisors (see below), whose sum is σ = 13970571888. Its totient is φ = 1571851008.

The previous prime is 5120280793. The next prime is 5120280863. The reversal of 5120280828 is 8280820215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5120280793) and next prime (5120280863).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5120280792 and 5120280801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194976 + ... + 219672.

Almost surely, 25120280828 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 5120280828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985285944).

5120280828 is an abundant number, since it is smaller than the sum of its proper divisors (8850291060).

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

5120280828 is a wasteful number, since it uses less digits than its factorization.

5120280828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25163 (or 25158 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5120280828 is about 71556.1375983919. The cubic root of 5120280828 is about 1723.5792631986.

The spelling of 5120280828 in words is "five billion, one hundred twenty million, two hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 443 468 886 1329 1772 2658 3987 5316 5759 7974 11518 15948 17277 23036 24697 34554 49394 51831 69108 74091 98788 103662 148182 207324 222273 296364 321061 444546 642122 889092 963183 1284244 1926366 2889549 3852732 5779098 10940771 11558196 21881542 32822313 43763084 65644626 98466939 131289252 142230023 196933878 284460046 393867756 426690069 568920092 853380138 1280070207 1706760276 2560140414 5120280828