[go: up one dir, main page]

Search a number
-
+
53850240 = 273259349
BaseRepresentation
bin1100110101101…
…1000010000000
310202022212122100
43031123002000
5102241201430
65202110400
71222501533
oct315330200
9122285570
1053850240
1128440534
121604b400
13b205a62
14721aa1a
154ada960
hex335b080

53850240 has 96 divisors (see below), whose sum is σ = 185971500. Its totient is φ = 14358528.

The previous prime is 53850227. The next prime is 53850253. The reversal of 53850240 is 4205835.

It is an interprime number because it is at equal distance from previous prime (53850227) and next prime (53850253).

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 968256 = 7272^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1086 + ... + 10434.

Almost surely, 253850240 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 53850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92985750).

53850240 is an abundant number, since it is smaller than the sum of its proper divisors (132121260).

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

53850240 is a wasteful number, since it uses less digits than its factorization.

53850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9374 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53850240 is about 7338.2722762242. The cubic root of 53850240 is about 377.6265733477.

The spelling of 53850240 in words is "fifty-three million, eight hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9349 18698 28047 37396 46745 56094 74792 84141 93490 112188 140235 149584 168282 186980 224376 280470 299168 336564 373960 420705 448752 560940 598336 673128 747920 841410 897504 1121880 1196672 1346256 1495840 1682820 1795008 2243760 2692512 2991680 3365640 3590016 4487520 5385024 5983360 6731280 8975040 10770048 13462560 17950080 26925120 53850240