Search a number
-
+
5622924240 = 2432543181619
BaseRepresentation
bin1010011110010011…
…10000001111010000
3112111212112010222100
411033021300033100
543003432033430
62325542440400
7256225032063
oct51711601720
915455463870
105622924240
112425aa322a
12110b133100
136b7c2290b
143b4ad48da
1522d9a1960
hex14f2703d0

5622924240 has 120 divisors (see below), whose sum is σ = 19322915040. Its totient is φ = 1464567552.

The previous prime is 5622924221. The next prime is 5622924247. The reversal of 5622924240 is 424292265.

It is a happy number.

5622924240 is a `hidden beast` number, since 5 + 6 + 229 + 2 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×56229242403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5622924195 and 5622924204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5622924247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59850 + ... + 121769.

It is an arithmetic number, because the mean of its divisors is an integer number (161024292).

Almost surely, 25622924240 is an apocalyptic number.

It is an amenable number.

5622924240 is an abundant number, since it is smaller than the sum of its proper divisors (13699990800).

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

5622924240 is a wasteful number, since it uses less digits than its factorization.

5622924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181681 (or 181672 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5622924240 is about 74986.1603230890. The cubic root of 5622924240 is about 1778.2278621641.

The spelling of 5622924240 in words is "five billion, six hundred twenty-two million, nine hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 181619 363238 544857 726476 908095 1089714 1452952 1634571 1816190 2179428 2724285 2905904 3269142 3632380 4358856 5448570 6538284 7264760 7809617 8172855 8717712 10897140 13076568 14529520 15619234 16345710 21794280 23428851 26153136 31238468 32691420 39048085 43588560 46857702 62476936 65382840 70286553 78096170 93715404 117144255 124953872 130765680 140573106 156192340 187430808 234288510 281146212 312384680 351432765 374861616 468577020 562292424 624769360 702865530 937154040 1124584848 1405731060 1874308080 2811462120 5622924240