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3521829025 = 52112132832
BaseRepresentation
bin1101000111101010…
…1101100010100001
3100002102221110012001
43101322231202201
524203042012100
61341245004001
7153163024051
oct32172554241
910072843161
103521829025
111547a87300
12823553601
13441840400
14255a41561
151592bed6a
hexd1ead8a1

3521829025 has 81 divisors (see below), whose sum is σ = 5261191257. Its totient is φ = 2335819200.

The previous prime is 3521829001. The next prime is 3521829133. The reversal of 3521829025 is 5209281253.

The square root of 3521829025 is 59345.

It is a perfect power (a square), and thus also a powerful number.

3521829025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 907756641 + 2614072384 = 30129^2 + 51128^2 .

It is not a de Polignac number, because 3521829025 - 219 = 3521304737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42431634 + ... + 42431716.

Almost surely, 23521829025 is an apocalyptic number.

3521829025 is the 59345-th square number.

3521829025 is the 29673-rd centered octagonal number.

It is an amenable number.

3521829025 is a deficient number, since it is larger than the sum of its proper divisors (1739362232).

3521829025 is a wasteful number, since it uses less digits than its factorization.

3521829025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 3521829025 is about 1521.4444119835. Note that the first 4 decimals are identical.

The spelling of 3521829025 in words is "three billion, five hundred twenty-one million, eight hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 83 121 143 169 275 325 415 605 715 845 913 1079 1573 1859 2075 3025 3575 4225 4565 5395 6889 7865 9295 10043 11869 14027 20449 22825 26975 34445 39325 46475 50215 59345 70135 75779 89557 102245 130559 154297 172225 251075 296725 350675 378895 447785 511225 652795 771485 833569 985127 1164241 1697267 1894475 2238925 3263975 3857425 4167845 4925635 5821205 8486335 10836397 12806651 20839225 24628175 29106025 42431675 54181985 64033255 140873161 270909925 320166275 704365805 3521829025