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4244532032 = 26138595939
BaseRepresentation
bin1111110011111110…
…0110101101000000
3101221210211120100002
43330333212231000
532143100011112
61541103015132
7210116632646
oct37477465500
911853746302
104244532032
111888a22814
129a559a4a8
1352849b320
142c3a09196
1519c9791c2
hexfcfe6b40

4244532032 has 56 divisors (see below), whose sum is σ = 9082735200. Its totient is φ = 1956404736.

The previous prime is 4244532029. The next prime is 4244532053. The reversal of 4244532032 is 2302354424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4244531986 and 4244532004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711719 + ... + 717657.

It is an arithmetic number, because the mean of its divisors is an integer number (162191700).

Almost surely, 24244532032 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 4244532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541367600).

4244532032 is an abundant number, since it is smaller than the sum of its proper divisors (4838203168).

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

4244532032 is a wasteful number, since it uses less digits than its factorization.

4244532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 4244532032 is about 65150.0731542183. The cubic root of 4244532032 is about 1619.1109321695.

Adding to 4244532032 its reverse (2302354424), we get a palindrome (6546886456).

The spelling of 4244532032 in words is "four billion, two hundred forty-four million, five hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 859 1718 3436 5939 6872 11167 11878 13744 22334 23756 27488 44668 47512 54976 77207 89336 95024 154414 178672 190048 308828 357344 380096 617656 714688 1235312 2470624 4941248 5101601 10203202 20406404 40812808 66320813 81625616 132641626 163251232 265283252 326502464 530566504 1061133008 2122266016 4244532032