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4013056332 = 2233531514643
BaseRepresentation
bin1110111100110010…
…0110000101001100
3101100200021101101000
43233030212011030
531204320300312
61502113420300
7201306262455
oct35714460514
911320241330
104013056332
11177a2a168a
1293bb6a690
134bc54345c
142a0d9212c
151874a3adc
hexef32614c

4013056332 has 96 divisors (see below), whose sum is σ = 10673026560. Its totient is φ = 1303473600.

The previous prime is 4013056241. The next prime is 4013056357. The reversal of 4013056332 is 2336503104.

It is a happy number.

4013056332 is a `hidden beast` number, since 40 + 1 + 30 + 563 + 32 = 666.

4013056332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40130563322 = 32209242247610588448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4013056296 and 4013056305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862003 + ... + 866645.

It is an arithmetic number, because the mean of its divisors is an integer number (111177360).

Almost surely, 24013056332 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 4013056332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336513280).

4013056332 is an abundant number, since it is smaller than the sum of its proper divisors (6659970228).

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

4013056332 is a wasteful number, since it uses less digits than its factorization.

4013056332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 4013056332 is about 63348.6884789259. The cubic root of 4013056332 is about 1589.1263124591.

Adding to 4013056332 its reverse (2336503104), we get a palindrome (6349559436).

The spelling of 4013056332 in words is "four billion, thirteen million, fifty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 151 159 212 302 318 453 477 604 636 906 954 1359 1431 1812 1908 2718 2862 4077 4643 5436 5724 8003 8154 9286 13929 16006 16308 18572 24009 27858 32012 41787 48018 55716 72027 83574 96036 125361 144054 167148 216081 246079 250722 288108 432162 492158 501444 701093 738237 864324 984316 1402186 1476474 2103279 2214711 2804372 2952948 4206558 4429422 6309837 6644133 8413116 8858844 12619674 13288266 18929511 25239348 26576532 37157929 37859022 74315858 75718044 111473787 148631716 222947574 334421361 445895148 668842722 1003264083 1337685444 2006528166 4013056332