Search a number
-
+
124242464 = 2541281337
BaseRepresentation
bin1110110011111…
…00101000100000
322122210011121202
413121330220200
5223301224324
620154540332
73036020633
oct731745040
9278704552
10124242464
116414a225
12357376a8
131c980c68
1412701c1a
15ad928ae
hex767ca20

124242464 has 48 divisors (see below), whose sum is σ = 252206136. Its totient is φ = 60211200.

The previous prime is 124242457. The next prime is 124242493. The reversal of 124242464 is 464242421.

It can be written as a sum of positive squares in 4 ways, for example, as 72114064 + 52128400 = 8492^2 + 7220^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368504 + ... + 368840.

Almost surely, 2124242464 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 124242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126103068).

124242464 is an abundant number, since it is smaller than the sum of its proper divisors (127963672).

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

124242464 is a wasteful number, since it uses less digits than its factorization.

124242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 124242464 is about 11146.4103638795. The cubic root of 124242464 is about 498.9879047085.

Adding to 124242464 its reverse (464242421), we get a palindrome (588484885).

The spelling of 124242464 in words is "one hundred twenty-four million, two hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 281 328 337 562 656 674 1124 1312 1348 2248 2696 4496 5392 8992 10784 11521 13817 23042 27634 46084 55268 92168 94697 110536 184336 189394 221072 368672 378788 442144 757576 1515152 3030304 3882577 7765154 15530308 31060616 62121232 124242464