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242471232 = 26365197
BaseRepresentation
bin11100111001111…
…01000101000000
3121220020211000000
432130331011000
5444033034412
640021000000
76002654133
oct1634750500
9556224000
10242471232
11114961253
1269253000
133b307903
14242ba21a
15164484dc
hexe73d140

242471232 has 98 divisors (see below), whose sum is σ = 721539578. Its totient is φ = 80808192.

The previous prime is 242471227. The next prime is 242471239. The reversal of 242471232 is 232174242.

242471232 is a `hidden beast` number, since 2 + 424 + 7 + 1 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 39237696 = 14256^2 + 6264^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242471196 and 242471205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242471239) 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 13 ways as a sum of consecutive naturals, for example, 44058 + ... + 49254.

Almost surely, 2242471232 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 242471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360769789).

242471232 is an abundant number, since it is smaller than the sum of its proper divisors (479068346).

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

242471232 is an frugal number, since it uses more digits than its factorization.

242471232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5202 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 242471232 is about 15571.4877901888. The cubic root of 242471232 is about 623.5721919733.

The spelling of 242471232 in words is "two hundred forty-two million, four hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5197 5832 7776 10394 11664 15552 15591 20788 23328 31182 41576 46656 46773 62364 83152 93546 124728 140319 166304 187092 249456 280638 332608 374184 420957 498912 561276 748368 841914 997824 1122552 1262871 1496736 1683828 2245104 2525742 2993472 3367656 3788613 4490208 5051484 6735312 7577226 8980416 10102968 13470624 15154452 20205936 26941248 30308904 40411872 60617808 80823744 121235616 242471232