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5725132800 = 21135237273
BaseRepresentation
bin1010101010011111…
…01001100000000000
3112202222211212202120
411111033221200000
543211113222200
62344033244240
7261605553162
oct52517514000
915688755676
105725132800
112478763012
121139403680
1370315a75a
143c44dc932
152379409a0
hex1553e9800

5725132800 has 144 divisors (see below), whose sum is σ = 18926991720. Its totient is φ = 1526661120.

The previous prime is 5725132799. The next prime is 5725132807. The reversal of 5725132800 is 82315275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725132807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134964 + ... + 172236.

Almost surely, 25725132800 is an apocalyptic number.

5725132800 is a gapful number since it is divisible by the number (50) 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 5725132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463495860).

5725132800 is an abundant number, since it is smaller than the sum of its proper divisors (13201858920).

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

5725132800 is a wasteful number, since it uses less digits than its factorization.

5725132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37308 (or 37283 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5725132800 is about 75664.6073141201. The cubic root of 5725132800 is about 1788.9375841300.

The spelling of 5725132800 in words is "five billion, seven hundred twenty-five million, one hundred thirty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 15360 19200 25600 30720 37273 38400 51200 74546 76800 111819 149092 153600 186365 223638 298184 372730 447276 559095 596368 745460 894552 931825 1118190 1192736 1490920 1789104 1863650 2236380 2385472 2795475 2981840 3578208 3727300 4472760 4770944 5590950 5963680 7156416 7454600 8945520 9541888 11181900 11927360 14312832 14909200 17891040 19083776 22363800 23854720 28625664 29818400 35782080 38167552 44727600 47709440 57251328 59636800 71564160 76335104 89455200 95418880 114502656 119273600 143128320 178910400 190837760 229005312 238547200 286256640 357820800 381675520 477094400 572513280 715641600 954188800 1145026560 1431283200 1908377600 2862566400 5725132800