Search a number
-
+
245150592 = 2731095857
BaseRepresentation
bin11101001110010…
…11001110000000
3122002021221101120
432213023032000
51000224304332
640154232240
76034513521
oct1647131600
9562257346
10245150592
111164212a5
126a125680
133ba3532b
14247b6848
15167c732c
hexe9cb380

245150592 has 64 divisors (see below), whose sum is σ = 657267600. Its totient is φ = 80953344.

The previous prime is 245150579. The next prime is 245150627. The reversal of 245150592 is 295051542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38928 + ... + 44784.

Almost surely, 2245150592 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 245150592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328633800).

245150592 is an abundant number, since it is smaller than the sum of its proper divisors (412117008).

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

245150592 is a wasteful number, since it uses less digits than its factorization.

245150592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 245150592 is about 15657.2855885048. The cubic root of 245150592 is about 625.8606528055.

The spelling of 245150592 in words is "two hundred forty-five million, one hundred fifty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 5232 5857 6976 10464 11714 13952 17571 20928 23428 35142 41856 46856 70284 93712 140568 187424 281136 374848 562272 638413 749696 1124544 1276826 1915239 2249088 2553652 3830478 5107304 7660956 10214608 15321912 20429216 30643824 40858432 61287648 81716864 122575296 245150592