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3605421152 = 25196721321
BaseRepresentation
bin1101011011100110…
…0101110001100000
3100022021020101000202
43112321211301200
524340441434102
61353432404332
7155226400634
oct32671456140
910267211022
103605421152
111590191303
128475466a8
13455c5a7c8
14262ba0dc4
151617d2e02
hexd6e65c60

3605421152 has 72 divisors (see below), whose sum is σ = 7590686040. Its totient is φ = 1681067520.

The previous prime is 3605421137. The next prime is 3605421187. The reversal of 3605421152 is 2511245063.

3605421152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2728652 + ... + 2729972.

It is an arithmetic number, because the mean of its divisors is an integer number (105426195).

Almost surely, 23605421152 is an apocalyptic number.

3605421152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3605421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795343020).

3605421152 is an abundant number, since it is smaller than the sum of its proper divisors (3985264888).

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

3605421152 is a wasteful number, since it uses less digits than its factorization.

3605421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 3605421152 is about 60045.1592720013. The cubic root of 3605421152 is about 1533.3877900424.

The spelling of 3605421152 in words is "three billion, six hundred five million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 1072 1273 1321 2144 2546 2642 4489 5092 5284 8978 10184 10568 17956 20368 21136 25099 35912 40736 42272 50198 71824 85291 88507 100396 143648 170582 177014 200792 341164 354028 401584 682328 708056 803168 1364656 1416112 1681633 2729312 2832224 3363266 5929969 6726532 11859938 13453064 23719876 26906128 47439752 53812256 94879504 112669411 189759008 225338822 450677644 901355288 1802710576 3605421152