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538443776 = 2191379
BaseRepresentation
bin100000000110000…
…000000000000000
31101112011210000002
4200012000000000
52100320200101
6125232415132
716225460633
oct4006000000
91345153002
10538443776
11256a34862
121303a74a8
13877254b0
1451721c1a
153240dd6b
hex20180000

538443776 has 80 divisors (see below), whose sum is σ = 1174404000. Its totient is φ = 245366784.

The previous prime is 538443761. The next prime is 538443779. The reversal of 538443776 is 677344835.

It is a self number, because there is not a number n which added to its sum of digits gives 538443776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538443779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6815705 + ... + 6815783.

It is an arithmetic number, because the mean of its divisors is an integer number (14680050).

Almost surely, 2538443776 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 538443776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587202000).

538443776 is an abundant number, since it is smaller than the sum of its proper divisors (635960224).

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

538443776 is an frugal number, since it uses more digits than its factorization.

538443776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 47.

The square root of 538443776 is about 23204.3913085433. The cubic root of 538443776 is about 813.5422652946.

The spelling of 538443776 in words is "five hundred thirty-eight million, four hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 512 632 832 1024 1027 1264 1664 2048 2054 2528 3328 4096 4108 5056 6656 8192 8216 10112 13312 16384 16432 20224 26624 32768 32864 40448 53248 65536 65728 80896 106496 131072 131456 161792 212992 262144 262912 323584 425984 524288 525824 647168 851968 1051648 1294336 1703936 2103296 2588672 3407872 4206592 5177344 6815744 8413184 10354688 16826368 20709376 33652736 41418752 67305472 134610944 269221888 538443776