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242771672 = 2311131371549
BaseRepresentation
bin11100111100001…
…10011011011000
3121220211002010102
432132012123120
5444122143142
640031234532
76005345063
oct1636063330
9556732112
10242771672
11115046a50
1269378a48
133b3b15a0
14243578da
15164a7532
hexe7866d8

242771672 has 64 divisors (see below), whose sum is σ = 539028000. Its totient is φ = 101053440.

The previous prime is 242771671. The next prime is 242771677. The reversal of 242771672 is 276177242.

242771672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242771671) 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, 155954 + ... + 157502.

Almost surely, 2242771672 is an apocalyptic number.

242771672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242771672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269514000).

242771672 is an abundant number, since it is smaller than the sum of its proper divisors (296256328).

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

242771672 is a wasteful number, since it uses less digits than its factorization.

242771672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1712 counting only the distinct ones).

The product of its digits is 65856, while the sum is 38.

The square root of 242771672 is about 15581.1319229381. The cubic root of 242771672 is about 623.8296365403.

The spelling of 242771672 in words is "two hundred forty-two million, seven hundred seventy-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 137 143 274 286 548 572 1096 1144 1507 1549 1781 3014 3098 3562 6028 6196 7124 12056 12392 14248 17039 19591 20137 34078 39182 40274 68156 78364 80548 136312 156728 161096 212213 221507 424426 443014 848852 886028 1697704 1772056 2334343 2758769 4668686 5517538 9337372 11035076 18674744 22070152 30346459 60692918 121385836 242771672