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5470081600 = 2652434
BaseRepresentation
bin1010001100000101…
…01101001001000000
3112010012220221021211
411012002231021000
542200320102400
62302442455504
7252360632524
oct50602551100
915105827254
105470081600
11235779a2a5
121087b04594
13692369b99
1439c6a9d84
1522035edba
hex1460ad240

5470081600 has 105 divisors (see below), whose sum is σ = 13780291337. Its totient is φ = 2137148160.

The previous prime is 5470081597. The next prime is 5470081601. The reversal of 5470081600 is 61800745.

The square root of 5470081600 is 73960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1969229376 + 3500852224 = 44376^2 + 59168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5470081601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 127211179 + ... + 127211221.

Almost surely, 25470081600 is an apocalyptic number.

5470081600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5470081600 is the 73960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5470081600

5470081600 is an abundant number, since it is smaller than the sum of its proper divisors (8310209737).

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

5470081600 is an frugal number, since it uses more digits than its factorization.

5470081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 5470081600 is about 1761.9676684857.

The spelling of 5470081600 in words is "five billion, four hundred seventy million, eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 160 172 200 215 320 344 400 430 688 800 860 1075 1376 1600 1720 1849 2150 2752 3440 3698 4300 6880 7396 8600 9245 13760 14792 17200 18490 29584 34400 36980 46225 59168 68800 73960 79507 92450 118336 147920 159014 184900 295840 318028 369800 397535 591680 636056 739600 795070 1272112 1479200 1590140 1987675 2544224 2958400 3180280 3418801 3975350 5088448 6360560 6837602 7950700 12721120 13675204 15901400 17094005 25442240 27350408 31802800 34188010 54700816 63605600 68376020 85470025 109401632 127211200 136752040 170940050 218803264 273504080 341880100 547008160 683760200 1094016320 1367520400 2735040800 5470081600