Search a number
-
+
250505472 = 2837172741
BaseRepresentation
bin11101110111001…
…10100100000000
3122110100222220110
432323212210000
51003112133342
640505111320
76131155440
oct1673464400
9573328813
10250505472
11119449518
126ba88540
133cb8b7b9
14253ac120
1516ed3c9c
hexeee6900

250505472 has 144 divisors (see below), whose sum is σ = 807069312. Its totient is φ = 67338240.

The previous prime is 250505471. The next prime is 250505473. The reversal of 250505472 is 274505052.

It is an interprime number because it is at equal distance from previous prime (250505471) and next prime (250505473).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (250505471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90022 + ... + 92762.

It is an arithmetic number, because the mean of its divisors is an integer number (5604648).

Almost surely, 2250505472 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 250505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403534656).

250505472 is an abundant number, since it is smaller than the sum of its proper divisors (556563840).

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

250505472 is a wasteful number, since it uses less digits than its factorization.

250505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 250505472 is about 15827.3646574532. The cubic root of 250505472 is about 630.3848089995.

The spelling of 250505472 in words is "two hundred fifty million, five hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2741 2856 3264 3808 4352 5376 5482 5712 6528 7616 8223 10964 11424 13056 15232 16446 19187 21928 22848 30464 32892 38374 43856 45696 46597 57561 65784 76748 87712 91392 93194 115122 131568 139791 153496 175424 186388 230244 263136 279582 306992 326179 350848 372776 460488 526272 559164 613984 652358 701696 745552 920976 978537 1052544 1118328 1227968 1304716 1491104 1841952 1957074 2105088 2236656 2455936 2609432 2982208 3683904 3914148 4473312 4911872 5218864 5964416 7367808 7828296 8946624 10437728 11928832 14735616 15656592 17893248 20875456 31313184 35786496 41750912 62626368 83501824 125252736 250505472