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242508492 = 22344491667
BaseRepresentation
bin11100111010001…
…10001011001100
3121220022201010000
432131012023030
5444040232432
640021444300
76003200562
oct1635061314
9556281100
10242508492
11114987246
1269270690
133b31b865
14242c9a32
151645457c
hexe7462cc

242508492 has 60 divisors (see below), whose sum is σ = 635758200. Its totient is φ = 80607744.

The previous prime is 242508491. The next prime is 242508517. The reversal of 242508492 is 294805242.

242508492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2425084922 = 117620737384228128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (242508491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144643 + ... + 146309.

It is an arithmetic number, because the mean of its divisors is an integer number (10595970).

Almost surely, 2242508492 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 242508492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317879100).

242508492 is an abundant number, since it is smaller than the sum of its proper divisors (393249708).

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

242508492 is a wasteful number, since it uses less digits than its factorization.

242508492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 242508492 is about 15572.6841616980. The cubic root of 242508492 is about 623.6041313085.

The spelling of 242508492 in words is "two hundred forty-two million, five hundred eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 449 898 1347 1667 1796 2694 3334 4041 5001 5388 6668 8082 10002 12123 15003 16164 20004 24246 30006 36369 45009 48492 60012 72738 90018 135027 145476 180036 270054 540108 748483 1496966 2245449 2993932 4490898 6736347 8981796 13472694 20209041 26945388 40418082 60627123 80836164 121254246 242508492