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505352240 = 2457278689
BaseRepresentation
bin11110000111110…
…001000000110000
31022012220112221122
4132013301000300
52013332232430
6122051241412
715344265101
oct3607610060
91265815848
10505352240
1123a292688
121212a9268
138090a2c3
144b18a3a8
152e573ee5
hex1e1f1030

505352240 has 40 divisors (see below), whose sum is σ = 1176695520. Its totient is φ = 201839616.

The previous prime is 505352213. The next prime is 505352261. The reversal of 505352240 is 42253505.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53816 + ... + 62504.

It is an arithmetic number, because the mean of its divisors is an integer number (29417388).

Almost surely, 2505352240 is an apocalyptic number.

It is an amenable number.

505352240 is an abundant number, since it is smaller than the sum of its proper divisors (671343280).

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

505352240 is a wasteful number, since it uses less digits than its factorization.

505352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 505352240 is about 22480.0409252297. The cubic root of 505352240 is about 796.5225309132.

The spelling of 505352240 in words is "five hundred five million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 727 1454 2908 3635 5816 7270 8689 11632 14540 17378 29080 34756 43445 58160 69512 86890 139024 173780 347560 695120 6316903 12633806 25267612 31584515 50535224 63169030 101070448 126338060 252676120 505352240