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5229029520 = 243751121319
BaseRepresentation
bin1001101111010110…
…01010100010010000
3111111102100020000000
410313223022202100
541202112421040
62222512130000
7243403006011
oct46753124220
914442306000
105229029520
112243718300
12101b236900
1365443b210
1437867d008
152090e7130
hex137aca890

5229029520 has 960 divisors, whose sum is σ = 22719379200. Its totient is φ = 1108546560.

The previous prime is 5229029497. The next prime is 5229029569. The reversal of 5229029520 is 259209225.

5229029520 is a `hidden beast` number, since 5 + 22 + 90 + 29 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275212071 + ... + 275212089.

It is an arithmetic number, because the mean of its divisors is an integer number (23666020).

Almost surely, 25229029520 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 5229029520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359689600).

5229029520 is an abundant number, since it is smaller than the sum of its proper divisors (17490349680).

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

5229029520 is a wasteful number, since it uses less digits than its factorization.

5229029520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5229029520 is about 72312.0288748698. The cubic root of 5229029520 is about 1735.6961409038.

It can be divided in two parts, 52290 and 29520, that added together give a triangular number (81810 = T404).

The spelling of 5229029520 in words is "five billion, two hundred twenty-nine million, twenty-nine thousand, five hundred twenty".