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2852126720 = 225517
BaseRepresentation
bin1010101000000000…
…0000000000000000
321100202210001022222
42222000000000000
521320121023340
61151002550212
7130451451152
oct25200000000
97322701288
102852126720
111233a51023
12677208368
13365b7b661
141d0b12ad2
1511a5d48b5
hexaa000000

2852126720 has 104 divisors (see below), whose sum is σ = 7247757204. Its totient is φ = 1073741824.

The previous prime is 2852126659. The next prime is 2852126731. The reversal of 2852126720 is 276212582.

It can be written as a sum of positive squares in 2 ways, for example, as 2835349504 + 16777216 = 53248^2 + 4096^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is an unprimeable number.

In principle, a polygon with 2852126720 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167772152 + ... + 167772168.

Almost surely, 22852126720 is an apocalyptic number.

2852126720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623878602).

2852126720 is an abundant number, since it is smaller than the sum of its proper divisors (4395630484).

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

2852126720 is an frugal number, since it uses more digits than its factorization.

2852126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2852126720 is about 53405.3061034201. The cubic root of 2852126720 is about 1418.1525137291.

The spelling of 2852126720 in words is "two billion, eight hundred fifty-two million, one hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 16384 17408 20480 21760 32768 34816 40960 43520 65536 69632 81920 87040 131072 139264 163840 174080 262144 278528 327680 348160 524288 557056 655360 696320 1048576 1114112 1310720 1392640 2097152 2228224 2621440 2785280 4194304 4456448 5242880 5570560 8388608 8912896 10485760 11141120 16777216 17825792 20971520 22282240 33554432 35651584 41943040 44564480 71303168 83886080 89128960 142606336 167772160 178257920 285212672 356515840 570425344 713031680 1426063360 2852126720