Search a number
-
+
5422614400 = 27527234583
BaseRepresentation
bin1010000110011011…
…01000011110000000
3111222220121100112101
411003031220132000
542101142130100
62254025240144
7251243314300
oct50315503600
914886540471
105422614400
112332a19505
121074033054
1368558a598
14396271600
1521b0d586a
hex143368780

5422614400 has 144 divisors (see below), whose sum is σ = 15583031640. Its totient is φ = 1859128320.

The previous prime is 5422614371. The next prime is 5422614433. The reversal of 5422614400 is 44162245.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 139509 + ... + 174091.

Almost surely, 25422614400 is an apocalyptic number.

5422614400 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 5422614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791515820).

5422614400 is an abundant number, since it is smaller than the sum of its proper divisors (10160417240).

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

5422614400 is a wasteful number, since it uses less digits than its factorization.

5422614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34621 (or 34597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5422614400 is about 73638.4030245089. The cubic root of 5422614400 is about 1756.8563026980.

Adding to 5422614400 its reverse (44162245), we get a palindrome (5466776645).

The spelling of 5422614400 in words is "five billion, four hundred twenty-two million, six hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 640 700 784 800 896 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3200 3920 4480 4900 5600 6272 7840 9800 11200 15680 19600 22400 31360 34583 39200 69166 78400 138332 156800 172915 242081 276664 345830 484162 553328 691660 864575 968324 1106656 1210405 1383320 1694567 1729150 1936648 2213312 2420810 2766640 3389134 3458300 3873296 4426624 4841620 5533280 6052025 6778268 6916600 7746592 8472835 9683240 11066560 12104050 13556536 13833200 15493184 16945670 19366480 22133120 24208100 27113072 27666400 30986368 33891340 38732960 42364175 48416200 54226144 55332800 67782680 77465920 84728350 96832400 108452288 110665600 135565360 154931840 169456700 193664800 216904576 271130720 338913400 387329600 542261440 677826800 774659200 1084522880 1355653600 2711307200 5422614400