82926450 has 192 divisors, whose sum is σ = 249091200. Its totient is φ = 20217600.

The previous prime is 82926449. The next prime is 82926451. The reversal of 82926450 is 5462928.

82926450 = T₂₉₄₅ + T₂₉₄₆ + ... + T₂₉₆₃.

It is a happy number.

82926450 is a `hidden beast` number, since 8 + 2 + 9 + 2 + 645 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82926449) and next prime (82926451).

It is a super-2 number, since 2×82926450² = 13753592219205000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82926451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1359420 + ... + 1359480.

It is an arithmetic number, because the mean of its divisors is an integer number (1297350).

Almost surely, 2^82926450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82926450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

82926450 is an abundant number, since it is smaller than the sum of its proper divisors (166164750).

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

82926450 is a wasteful number, since it uses less digits than its factorization.

82926450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82926450 is about 9106.3961038382. The cubic root of 82926450 is about 436.0781815584.

The spelling of 82926450 in words is "eighty-two million, nine hundred twenty-six thousand, four hundred fifty".