Search a number
-
+
242990592 = 2931343283
BaseRepresentation
bin11100111101110…
…11111000000000
3121221020012102120
432132323320000
5444201144332
640040044240
76010246245
oct1636737000
9557205376
10242990592
11115186479
1269463680
133b45a120
14243b35cc
15164ec32c
hexe7bbe00

242990592 has 160 divisors (see below), whose sum is σ = 715870848. Its totient is φ = 72769536.

The previous prime is 242990569. The next prime is 242990593. The reversal of 242990592 is 295099242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242990593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858483 + ... + 858765.

Almost surely, 2242990592 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 242990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357935424).

242990592 is an abundant number, since it is smaller than the sum of its proper divisors (472880256).

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

242990592 is a wasteful number, since it uses less digits than its factorization.

242990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 242990592 is about 15588.1555034584. The cubic root of 242990592 is about 624.0170935488.

The spelling of 242990592 in words is "two hundred forty-two million, nine hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 283 312 344 384 416 512 516 559 566 624 688 768 832 849 1032 1118 1132 1248 1376 1536 1664 1677 1698 2064 2236 2264 2496 2752 3328 3354 3396 3679 4128 4472 4528 4992 5504 6656 6708 6792 7358 8256 8944 9056 9984 11008 11037 12169 13416 13584 14716 16512 17888 18112 19968 22016 22074 24338 26832 27168 29432 33024 35776 36224 36507 44148 48676 53664 54336 58864 66048 71552 72448 73014 88296 97352 107328 108672 117728 143104 144896 146028 158197 176592 194704 214656 217344 235456 286208 292056 316394 353184 389408 429312 434688 470912 474591 584112 632788 706368 778816 858624 941824 949182 1168224 1265576 1412736 1557632 1883648 1898364 2336448 2531152 2825472 3115264 3796728 4672896 5062304 5650944 6230528 7593456 9345792 10124608 15186912 18691584 20249216 30373824 40498432 60747648 80996864 121495296 242990592