26153952 has 48 divisors (see below), whose sum is σ = 74898432. Its totient is φ = 7925120.

The previous prime is 26153951. The next prime is 26153971. The reversal of 26153952 is 25935162.

It is a tau number, because it is divible by the number of its divisors (48).

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 a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26153951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11328 + ... + 13439.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 2^26153952 is an apocalyptic number.

26153952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26153952 is an abundant number, since it is smaller than the sum of its proper divisors (48744480).

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

26153952 is a wasteful number, since it uses less digits than its factorization.

26153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24791 (or 24783 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 26153952 is about 5114.0934680547. The cubic root of 26153952 is about 296.8331772959.

The spelling of 26153952 in words is "twenty-six million, one hundred fifty-three thousand, nine hundred fifty-two".