Search a number
-
+
4532794952 = 237316738971
BaseRepresentation
bin1000011100010110…
…01111011001001000
3102200220020211201112
410032023033121020
533240343414302
62025441305452
7220220056430
oct41613173110
912626224645
104532794952
111a1670aa34
12a66035288
135731199ba
143100052c0
151b7e1a552
hex10e2cf648

4532794952 has 64 divisors (see below), whose sum is σ = 10176368640. Its totient is φ = 1851854400.

The previous prime is 4532794951. The next prime is 4532794967. The reversal of 4532794952 is 2594972354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4532794952.

It is not an unprimeable number, because it can be changed into a prime (4532794951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96827 + ... + 135797.

It is an arithmetic number, because the mean of its divisors is an integer number (159005760).

Almost surely, 24532794952 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 4532794952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088184320).

4532794952 is an abundant number, since it is smaller than the sum of its proper divisors (5643573688).

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

4532794952 is a wasteful number, since it uses less digits than its factorization.

4532794952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39082 (or 39078 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 50.

The square root of 4532794952 is about 67326.0347265454. The cubic root of 4532794952 is about 1654.9645337002.

The spelling of 4532794952 in words is "four billion, five hundred thirty-two million, seven hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 67 124 134 217 248 268 434 469 536 868 938 1736 1876 2077 3752 4154 8308 14539 16616 29078 38971 58156 77942 116312 155884 272797 311768 545594 1091188 1208101 2182376 2416202 2611057 4832404 5222114 8456707 9664808 10444228 16913414 18277399 20888456 33826828 36554798 67653656 73109596 80942767 146219192 161885534 323771068 566599369 647542136 1133198738 2266397476 4532794952