Search a number
-
+
602115616 = 2553893989
BaseRepresentation
bin100011111000111…
…000111000100000
31112221222122100101
4203320320320200
52213120144431
6135425232144
720630620054
oct4370707040
91487878311
10602115616
11289973413
12149792654
139798983b
1459d77c64
1537cd9961
hex23e38e20

602115616 has 48 divisors (see below), whose sum is σ = 1221658200. Its totient is φ = 291985408.

The previous prime is 602115589. The next prime is 602115629. The reversal of 602115616 is 616511206.

It can be written as a sum of positive squares in 4 ways, for example, as 484176016 + 117939600 = 22004^2 + 10860^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 148950 + ... + 152938.

Almost surely, 2602115616 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 602115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610829100).

602115616 is an abundant number, since it is smaller than the sum of its proper divisors (619542584).

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

602115616 is a wasteful number, since it uses less digits than its factorization.

602115616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 602115616 is about 24538.0442578458. The cubic root of 602115616 is about 844.4228244593.

The spelling of 602115616 in words is "six hundred two million, one hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 53 89 106 178 212 356 424 712 848 1424 1696 2848 3989 4717 7978 9434 15956 18868 31912 37736 63824 75472 127648 150944 211417 355021 422834 710042 845668 1420084 1691336 2840168 3382672 5680336 6765344 11360672 18816113 37632226 75264452 150528904 301057808 602115616