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242513352 = 23342631423
BaseRepresentation
bin11100111010001…
…11010111001000
3121220022221210000
432131013113020
5444040411402
640021523000
76003221004
oct1635072710
9556287700
10242513352
1111498a964
1269273460
133b320b33
14242cb704
1516455c1c
hexe7475c8

242513352 has 80 divisors (see below), whose sum is σ = 682323840. Its totient is φ = 80473824.

The previous prime is 242513333. The next prime is 242513353. The reversal of 242513352 is 253315242.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (242513353) 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, 169713 + ... + 171135.

It is an arithmetic number, because the mean of its divisors is an integer number (8529048).

Almost surely, 2242513352 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 242513352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341161920).

242513352 is an abundant number, since it is smaller than the sum of its proper divisors (439810488).

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

242513352 is a wasteful number, since it uses less digits than its factorization.

242513352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1691 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 242513352 is about 15572.8402033797. The cubic root of 242513352 is about 623.6082970675.

Adding to 242513352 its reverse (253315242), we get a palindrome (495828594).

The spelling of 242513352 in words is "two hundred forty-two million, five hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 263 324 526 648 789 1052 1423 1578 2104 2367 2846 3156 4269 4734 5692 6312 7101 8538 9468 11384 12807 14202 17076 18936 21303 25614 28404 34152 38421 42606 51228 56808 76842 85212 102456 115263 153684 170424 230526 307368 374249 461052 748498 922104 1122747 1496996 2245494 2993992 3368241 4490988 6736482 8981976 10104723 13472964 20209446 26945928 30314169 40418892 60628338 80837784 121256676 242513352