Search a number
-
+
601602048 = 21132127257
BaseRepresentation
bin100011110110111…
…011100000000000
31112221000112212100
4203312323200000
52213002231143
6135410230400
720623350555
oct4366734000
91487015770
10601602048
11289652583
12149585400
1397839b58
1459c82a2c
1537c376d3
hex23dbb800

601602048 has 144 divisors (see below), whose sum is σ = 1758032640. Its totient is φ = 198180864.

The previous prime is 601602031. The next prime is 601602097. The reversal of 601602048 is 840206106.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2340736 + ... + 2340992.

It is an arithmetic number, because the mean of its divisors is an integer number (12208560).

Almost surely, 2601602048 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 601602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879016320).

601602048 is an abundant number, since it is smaller than the sum of its proper divisors (1156430592).

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

601602048 is a wasteful number, since it uses less digits than its factorization.

601602048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 601602048 is about 24527.5772957706. The cubic root of 601602048 is about 844.1826757317.

The spelling of 601602048 in words is "six hundred one million, six hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 257 288 381 384 508 512 514 576 762 768 771 1016 1024 1028 1143 1152 1524 1536 1542 2032 2048 2056 2286 2304 2313 3048 3072 3084 4064 4112 4572 4608 4626 6096 6144 6168 8128 8224 9144 9216 9252 12192 12336 16256 16448 18288 18432 18504 24384 24672 32512 32639 32896 36576 37008 48768 49344 65024 65278 65792 73152 74016 97536 97917 98688 130048 130556 131584 146304 148032 195072 195834 197376 260096 261112 263168 292608 293751 296064 390144 391668 394752 522224 526336 585216 587502 592128 780288 783336 789504 1044448 1170432 1175004 1184256 1566672 1579008 2088896 2340864 2350008 2368512 3133344 4177792 4700016 4737024 6266688 8355584 9400032 12533376 16711168 18800064 25066752 33422336 37600128 50133504 66844672 75200256 100267008 150400512 200534016 300801024 601602048