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4011219828 = 22327113146679
BaseRepresentation
bin1110111100010110…
…0101101101110100
3101100112211002011100
43233011211231310
531203333013303
61502010210100
7201254543310
oct35705455564
911315732140
104011219828
111779257910
1293b423930
134bc04c575
142a0a34b40
1518723e8a3
hexef165b74

4011219828 has 144 divisors (see below), whose sum is σ = 13049487360. Its totient is φ = 1008244800.

The previous prime is 4011219809. The next prime is 4011219857. The reversal of 4011219828 is 8289121104.

It is a happy number.

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 = 4011219792 and 4011219801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62593 + ... + 109271.

It is an arithmetic number, because the mean of its divisors is an integer number (90621440).

Almost surely, 24011219828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011219828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524743680).

4011219828 is an abundant number, since it is smaller than the sum of its proper divisors (9038267532).

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

4011219828 is a wasteful number, since it uses less digits than its factorization.

4011219828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46738 (or 46733 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4011219828 is about 63334.1916187457. The cubic root of 4011219828 is about 1588.8838636543.

The spelling of 4011219828 in words is "four billion, eleven million, two hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 46679 85932 93358 140037 186716 280074 326753 420111 513469 560148 653506 840222 980259 1026938 1307012 1447049 1540407 1680444 1960518 2053876 2894098 2940777 3080814 3594283 3921036 4341147 4621221 5788196 5881554 6161628 7188566 8682294 9242442 10129343 10782849 11763108 13023441 14377132 15917539 17364588 18484884 20258686 21565698 26046882 30388029 31835078 32348547 40517372 43131396 47752617 52093764 60776058 63670156 64697094 91164087 95505234 111422773 121552116 129394188 143257851 182328174 191010468 222845546 286515702 334268319 364656348 445691092 573031404 668536638 1002804957 1337073276 2005609914 4011219828