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609628240 = 245134191399
BaseRepresentation
bin100100010101100…
…011000001010000
31120111010022201201
4210111203001100
52222031100430
6140254240544
721051516544
oct4425430120
91514108651
10609628240
112931347a1
121501b6154
13993ba190
145ad71a24
15387c08ca
hex24563050

609628240 has 80 divisors (see below), whose sum is σ = 1531152000. Its totient is φ = 224395776.

The previous prime is 609628231. The next prime is 609628273. The reversal of 609628240 is 42826906.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 609628240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435061 + ... + 436459.

It is an arithmetic number, because the mean of its divisors is an integer number (19139400).

Almost surely, 2609628240 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 609628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576000).

609628240 is an abundant number, since it is smaller than the sum of its proper divisors (921523760).

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

609628240 is a wasteful number, since it uses less digits than its factorization.

609628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 609628240 is about 24690.6508622191. The cubic root of 609628240 is about 847.9202859091.

It can be divided in two parts, 609 and 628240, that added together give a square (628849 = 7932).

The spelling of 609628240 in words is "six hundred nine million, six hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 419 520 838 1040 1399 1676 2095 2798 3352 4190 5447 5596 6704 6995 8380 10894 11192 13990 16760 18187 21788 22384 27235 27980 33520 36374 43576 54470 55960 72748 87152 90935 108940 111920 145496 181870 217880 290992 363740 435760 586181 727480 1172362 1454960 2344724 2930905 4689448 5861810 7620353 9378896 11723620 15240706 23447240 30481412 38101765 46894480 60962824 76203530 121925648 152407060 304814120 609628240