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1528074834 = 23111310317291
BaseRepresentation
bin101101100010100…
…1001001001010010
310221111100020121020
41123011021021102
511112141343314
6411343540310
752603264446
oct13305111122
93844306536
101528074834
11714616270
123678ba696
131b4771bc0
14106d30826
158e242da9
hex5b149252

1528074834 has 64 divisors (see below), whose sum is σ = 3625509888. Its totient is φ = 423259200.

The previous prime is 1528074833. The next prime is 1528074841. The reversal of 1528074834 is 4384708251.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1528074833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79729 + ... + 97019.

It is an arithmetic number, because the mean of its divisors is an integer number (56648592).

Almost surely, 21528074834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1528074834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812754944).

1528074834 is an abundant number, since it is smaller than the sum of its proper divisors (2097435054).

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

1528074834 is a wasteful number, since it uses less digits than its factorization.

1528074834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423.

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 1528074834 is about 39090.5977697963. The cubic root of 1528074834 is about 1151.8118468632.

It can be divided in two parts, 152807 and 4834, that added together give a triangular number (157641 = T561).

The spelling of 1528074834 in words is "one billion, five hundred twenty-eight million, seventy-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 103 143 206 286 309 429 618 858 1133 1339 2266 2678 3399 4017 6798 8034 14729 17291 29458 34582 44187 51873 88374 103746 190201 224783 380402 449566 570603 674349 1141206 1348698 1780973 2472613 3561946 4945226 5342919 7417839 10685838 14835678 19590703 23152649 39181406 46305298 58772109 69457947 117544218 138915894 254679139 509358278 764037417 1528074834