Search a number
-
+
5775749400 = 233529626249
BaseRepresentation
bin1010110000100001…
…01111000100011000
3112220112002110200110
411120100233010120
543312042440100
62353042204320
7263062026351
oct53020570430
915815073613
105775749400
1124a4295013
1211523536a0
137107a06c5
143cb116d28
1523c0dd250
hex15842f118

5775749400 has 48 divisors (see below), whose sum is σ = 17904825000. Its totient is φ = 1540199680.

The previous prime is 5775749389. The next prime is 5775749401. The reversal of 5775749400 is 49475775.

It is a happy number.

It is a super-2 number, since 2×57757494002 = 66718562263200720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5775749400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5775749401) 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, 4812525 + ... + 4813724.

Almost surely, 25775749400 is an apocalyptic number.

5775749400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5775749400 is an abundant number, since it is smaller than the sum of its proper divisors (12129075600).

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

5775749400 is a wasteful number, since it uses less digits than its factorization.

5775749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626268 (or 9626259 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The square root of 5775749400 is about 75998.3512979065. The cubic root of 5775749400 is about 1794.1941950509.

The spelling of 5775749400 in words is "five billion, seven hundred seventy-five million, seven hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 9626249 19252498 28878747 38504996 48131245 57757494 77009992 96262490 115514988 144393735 192524980 231029976 240656225 288787470 385049960 481312450 577574940 721968675 962624900 1155149880 1443937350 1925249800 2887874700 5775749400