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242944728 = 23313797977
BaseRepresentation
bin11100111101100…
…00101011011000
3121221010212111220
432132300223120
5444143212403
640035052040
76006665445
oct1636605330
9557125456
10242944728
11115154a74
1269441020
133b4422a0
14243a09cc
15164dd953
hexe7b0ad8

242944728 has 64 divisors (see below), whose sum is σ = 655572960. Its totient is φ = 74582016.

The previous prime is 242944727. The next prime is 242944729. The reversal of 242944728 is 827449242.

It is an interprime number because it is at equal distance from previous prime (242944727) and next prime (242944729).

Its product of digits (258048) is a multiple of the sum of its prime divisors (1792).

It is a self number, because there is not a number n which added to its sum of digits gives 242944728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242944727) 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, 248176 + ... + 249152.

Almost surely, 2242944728 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 242944728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327786480).

242944728 is an abundant number, since it is smaller than the sum of its proper divisors (412628232).

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

242944728 is a wasteful number, since it uses less digits than its factorization.

242944728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1792 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 242944728 is about 15586.6843170701. The cubic root of 242944728 is about 623.9778304089.

The spelling of 242944728 in words is "two hundred forty-two million, nine hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 797 977 1594 1954 2391 2931 3188 3908 4782 5862 6376 7816 9564 10361 11724 12701 19128 20722 23448 25402 31083 38103 41444 50804 62166 76206 82888 101608 124332 152412 248664 304824 778669 1557338 2336007 3114676 4672014 6229352 9344028 10122697 18688056 20245394 30368091 40490788 60736182 80981576 121472364 242944728