Search a number
-
+
242707392 = 26322111997
BaseRepresentation
bin11100111011101…
…10101111000000
3121220200210221200
432131312233000
5444113114032
640030021200
76004656504
oct1635665700
9556623850
10242707392
11115002724
1269347800
133b38b255
142433c304
151649347c
hexe776bc0

242707392 has 84 divisors (see below), whose sum is σ = 699323976. Its totient is φ = 80478720.

The previous prime is 242707391. The next prime is 242707411. The reversal of 242707392 is 293707242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242707391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120538 + ... + 122534.

Almost surely, 2242707392 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 242707392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349661988).

242707392 is an abundant number, since it is smaller than the sum of its proper divisors (456616584).

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

242707392 is a wasteful number, since it uses less digits than its factorization.

242707392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 242707392 is about 15579.0690350868. The cubic root of 242707392 is about 623.7745734044.

The spelling of 242707392 in words is "two hundred forty-two million, seven hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 211 288 422 576 633 844 1266 1688 1899 1997 2532 3376 3798 3994 5064 5991 6752 7596 7988 10128 11982 13504 15192 15976 17973 20256 23964 30384 31952 35946 40512 47928 60768 63904 71892 95856 121536 127808 143784 191712 287568 383424 421367 575136 842734 1150272 1264101 1685468 2528202 3370936 3792303 5056404 6741872 7584606 10112808 13483744 15169212 20225616 26967488 30338424 40451232 60676848 80902464 121353696 242707392