4261956 has 48 divisors (see below), whose sum is σ = 10597440. Its totient is φ = 1330560.

The previous prime is 4261949. The next prime is 4261963. The reversal of 4261956 is 6591624.

4261956 = T₂₁₁ + T₂₁₂ + ... + T₃₂₆.

4261956 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4261949) and next prime (4261963).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12711 + ... + 13041.

It is an arithmetic number, because the mean of its divisors is an integer number (220780).

Almost surely, 2^4261956 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 4261956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298720).

4261956 is an abundant number, since it is smaller than the sum of its proper divisors (6335484).

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

4261956 is a wasteful number, since it uses less digits than its factorization.

4261956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 4261956 is about 2064.4505322240. The cubic root of 4261956 is about 162.1323411800.

The spelling of 4261956 in words is "four million, two hundred sixty-one thousand, nine hundred fifty-six".