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4013152 = 251113877
BaseRepresentation
bin1111010011110001100000
321112220000021
433103301200
52011410102
6222003224
746053103
oct17236140
97486007
104013152
1122a1160
121416514
13aa6860
1476673a
15544137
hex3d3c60

4013152 has 48 divisors (see below), whose sum is σ = 9292752. Its totient is φ = 1681920.

The previous prime is 4013111. The next prime is 4013153. The reversal of 4013152 is 2513104.

4013152 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 2×40131522 = 32210777950208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4138 + ... + 5014.

It is an arithmetic number, because the mean of its divisors is an integer number (193599).

Almost surely, 24013152 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 4013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646376).

4013152 is an abundant number, since it is smaller than the sum of its proper divisors (5279600).

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

4013152 is a wasteful number, since it uses less digits than its factorization.

4013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4013152 is about 2003.2853016982. The cubic root of 4013152 is about 158.9138940185.

Adding to 4013152 its reverse (2513104), we get a palindrome (6526256).

It can be divided in two parts, 401 and 3152, that added together give a palindrome (3553).

The spelling of 4013152 in words is "four million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 877 1144 1754 2288 3508 4576 7016 9647 11401 14032 19294 22802 28064 38588 45604 77176 91208 125411 154352 182416 250822 308704 364832 501644 1003288 2006576 4013152