Search a number
-
+
124424192 = 21237821
BaseRepresentation
bin1110110101010…
…01000000000000
322200010101220102
413122221000000
5223323033232
620202501532
73040405514
oct732510000
9280111812
10124424192
1164263812
12358048a8
131ca158a9
141274c144
15adcb662
hex76a9000

124424192 has 52 divisors (see below), whose sum is σ = 255854076. Its totient is φ = 60456960.

The previous prime is 124424189. The next prime is 124424197. The reversal of 124424192 is 291424421.

It can be written as a sum of positive squares in 2 ways, for example, as 75759616 + 48664576 = 8704^2 + 6976^2 .

It is not an unprimeable number, because it can be changed into a prime (124424197) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151142 + ... + 151962.

Almost surely, 2124424192 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 124424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127927038).

124424192 is an abundant number, since it is smaller than the sum of its proper divisors (131429884).

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

124424192 is an frugal number, since it uses more digits than its factorization.

124424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 860 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 124424192 is about 11154.5592472316. The cubic root of 124424192 is about 499.2310741121.

The spelling of 124424192 in words is "one hundred twenty-four million, four hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 821 1024 1184 1642 2048 2368 3284 4096 4736 6568 9472 13136 18944 26272 30377 37888 52544 60754 75776 105088 121508 151552 210176 243016 420352 486032 840704 972064 1681408 1944128 3362816 3888256 7776512 15553024 31106048 62212096 124424192