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50048640 = 273258689
BaseRepresentation
bin1011111011101…
…0111010000000
310111011201211100
42332322322000
5100303024030
64544414400
71145256255
oct276727200
9114151740
1050048640
1126284314
1214917400
13a4a45a5
14690b42c
1545d9360
hex2fbae80

50048640 has 96 divisors (see below), whose sum is σ = 172844100. Its totient is φ = 13344768.

The previous prime is 50048611. The next prime is 50048707. The reversal of 50048640 is 4684005.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 1272384 = 6984^2 + 1128^2 .

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, 1416 + ... + 10104.

Almost surely, 250048640 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 50048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86422050).

50048640 is an abundant number, since it is smaller than the sum of its proper divisors (122795460).

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

50048640 is a wasteful number, since it uses less digits than its factorization.

50048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 50048640 is about 7074.5063432016. The cubic root of 50048640 is about 368.5225720092.

The spelling of 50048640 in words is "fifty million, forty-eight thousand, six 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 8689 17378 26067 34756 43445 52134 69512 78201 86890 104268 130335 139024 156402 173780 208536 260670 278048 312804 347560 391005 417072 521340 556096 625608 695120 782010 834144 1042680 1112192 1251216 1390240 1564020 1668288 2085360 2502432 2780480 3128040 3336576 4170720 5004864 5560960 6256080 8341440 10009728 12512160 16682880 25024320 50048640