Search a number
-
+
500142024 = 233237197953
BaseRepresentation
bin11101110011111…
…000111111001000
31021212002211212200
4131303320333020
52011014021044
6121343440200
715252065004
oct3563707710
91255084780
10500142024
11237354118
1211b5b6060
137c804935
144a5d1704
152dd95369
hex1dcf8fc8

500142024 has 96 divisors (see below), whose sum is σ = 1399689720. Its totient is φ = 161215488.

The previous prime is 500142017. The next prime is 500142029. The reversal of 500142024 is 420241005.

500142024 is a `hidden beast` number, since 500 + 142 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 493639524 + 6502500 = 22218^2 + 2550^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 500141988 and 500142006.

It is not an unprimeable number, because it can be changed into a prime (500142029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524332 + ... + 525284.

Almost surely, 2500142024 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 500142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699844860).

500142024 is an abundant number, since it is smaller than the sum of its proper divisors (899547696).

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

500142024 is a wasteful number, since it uses less digits than its factorization.

500142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 500142024 is about 22363.8553026977. The cubic root of 500142024 is about 793.7756685522.

Adding to 500142024 its reverse (420241005), we get a palindrome (920383029).

The spelling of 500142024 in words is "five hundred million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 197 222 296 333 394 444 591 666 788 888 953 1182 1332 1576 1773 1906 2364 2664 2859 3546 3812 4728 5718 7092 7289 7624 8577 11436 14184 14578 17154 21867 22872 29156 34308 35261 43734 58312 65601 68616 70522 87468 105783 131202 141044 174936 187741 211566 262404 282088 317349 375482 423132 524808 563223 634698 750964 846264 1126446 1269396 1501928 1689669 2252892 2538792 3379338 4505784 6758676 6946417 13517352 13892834 20839251 27785668 41678502 55571336 62517753 83357004 125035506 166714008 250071012 500142024