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1252714432 = 265925623
BaseRepresentation
bin100101010101010…
…1110011111000000
310020022012111010211
41022222232133000
510031143330212
6324150003504
743020616444
oct11252563700
93208174124
101252714432
11593140992
122ab646594
1316c6c0258
14bc532824
1574e9e9a7
hex4aaae7c0

1252714432 has 42 divisors (see below), whose sum is σ = 2529152168. Its totient is φ = 615631488.

The previous prime is 1252714429. The next prime is 1252714493. The reversal of 1252714432 is 2344172521.

It is a happy number.

It is a super-3 number, since 3×12527144323 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1252714394 and 1252714403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219973 + ... + 225595.

Almost surely, 21252714432 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 1252714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264576084).

1252714432 is an abundant number, since it is smaller than the sum of its proper divisors (1276437736).

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

1252714432 is an frugal number, since it uses more digits than its factorization.

1252714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5684 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 1252714432 is about 35393.7061071598. The cubic root of 1252714432 is about 1077.9965234759.

Adding to 1252714432 its reverse (2344172521), we get a palindrome (3596886953).

The spelling of 1252714432 in words is "one billion, two hundred fifty-two million, seven hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 3481 3776 5623 6962 11246 13924 22492 27848 44984 55696 89968 111392 179936 222784 331757 359872 663514 1327028 2654056 5308112 10616224 19573663 21232448 39147326 78294652 156589304 313178608 626357216 1252714432