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1328709525 = 3521113229541
BaseRepresentation
bin100111100110010…
…0111111110010101
310102121012102210220
41033030213332111
510210122201100
6335502504553
744632562463
oct11714477625
93377172726
101328709525
11622027150
12310b95159
1318237a770
14c8675833
157b9b1aa0
hex4f327f95

1328709525 has 96 divisors (see below), whose sum is σ = 2596917120. Its totient is φ = 590976000.

The previous prime is 1328709521. The next prime is 1328709527. The reversal of 1328709525 is 5259078231.

It is a happy number.

It is not a de Polignac number, because 1328709525 - 22 = 1328709521 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328709521) 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 95 ways as a sum of consecutive naturals, for example, 2455755 + ... + 2456295.

It is an arithmetic number, because the mean of its divisors is an integer number (27051220).

Almost surely, 21328709525 is an apocalyptic number.

1328709525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328709525 is a deficient number, since it is larger than the sum of its proper divisors (1268207595).

1328709525 is a wasteful number, since it uses less digits than its factorization.

1328709525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1328709525 is about 36451.4680774314. The cubic root of 1328709525 is about 1099.3686528579.

The spelling of 1328709525 in words is "one billion, three hundred twenty-eight million, seven hundred nine thousand, five hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 229 275 325 429 541 687 715 825 975 1145 1623 2145 2519 2705 2977 3435 3575 5725 5951 7033 7557 8115 8931 10725 12595 13525 14885 17175 17853 21099 29755 32747 35165 37785 40575 44655 62975 74425 77363 89265 98241 105495 123889 148775 163735 175825 188925 223275 232089 371667 386815 446325 491205 527475 619445 818675 1160445 1362779 1610557 1858335 1934075 2456025 3097225 4088337 4831671 5802225 6813895 8052785 9291675 17716127 20441685 24158355 34069475 40263925 53148381 88580635 102208425 120791775 265741905 442903175 1328709525