Search a number
-
+
602082048 = 2834119121
BaseRepresentation
bin100011111000110…
…000101100000000
31112221220221022010
4203320300230000
52213113111143
6135424412520
720630420151
oct4370605400
91487827263
10602082048
11289950177
12149777140
1397977489
1459d69928
1537ccea33
hex23e30b00

602082048 has 72 divisors (see below), whose sum is σ = 1641585456. Its totient is φ = 195788800.

The previous prime is 602082043. The next prime is 602082077. The reversal of 602082048 is 840280206.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (602082043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21928 + ... + 41048.

It is an arithmetic number, because the mean of its divisors is an integer number (22799798).

Almost surely, 2602082048 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 602082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820792728).

602082048 is an abundant number, since it is smaller than the sum of its proper divisors (1039503408).

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

602082048 is a wasteful number, since it uses less digits than its factorization.

602082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181 (or 19167 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 602082048 is about 24537.3602492200. The cubic root of 602082048 is about 844.4071319514.

The spelling of 602082048 in words is "six hundred two million, eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 19121 31488 38242 57363 76484 114726 152968 229452 305936 458904 611872 783961 917808 1223744 1567922 1835616 2351883 2447488 3135844 3671232 4703766 4894976 6271688 7342464 9407532 12543376 14684928 18815064 25086752 37630128 50173504 75260256 100347008 150520512 200694016 301041024 602082048