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608145616 = 241319374159
BaseRepresentation
bin100100001111111…
…001000011010000
31120101022222221201
4210033321003100
52221141124431
6140202400544
721033103201
oct4417710320
91511288851
10608145616
11292311891
1214b800154
1398cbb3a0
145aaa75a8
15385cb461
hex243f90d0

608145616 has 80 divisors (see below), whose sum is σ = 1372134400. Its totient is φ = 258660864.

The previous prime is 608145589. The next prime is 608145619. The reversal of 608145616 is 616541806.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608145619) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 144145 + ... + 148303.

It is an arithmetic number, because the mean of its divisors is an integer number (17151680).

Almost surely, 2608145616 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 608145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686067200).

608145616 is an abundant number, since it is smaller than the sum of its proper divisors (763988784).

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

608145616 is a wasteful number, since it uses less digits than its factorization.

608145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 608145616 is about 24660.6085894083. The cubic root of 608145616 is about 847.2323434356.

It can be divided in two parts, 60814 and 5616, that added together give a triangular number (66430 = T364).

The spelling of 608145616 in words is "six hundred eight million, one hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 104 148 152 208 247 296 304 481 494 592 703 962 988 1406 1924 1976 2812 3848 3952 4159 5624 7696 8318 9139 11248 16636 18278 33272 36556 54067 66544 73112 79021 108134 146224 153883 158042 216268 307766 316084 432536 615532 632168 865072 1027273 1231064 1264336 2000479 2054546 2462128 2923777 4000958 4109092 5847554 8001916 8218184 11695108 16003832 16436368 23390216 32007664 38009101 46780432 76018202 152036404 304072808 608145616