Search a number
-
+
71912448 = 21035172
BaseRepresentation
bin1000100100101…
…00110000000000
312000022112100000
410102110300000
5121402144243
611045200000
71532150166
oct422246000
9160275300
1071912448
1137657983
1220100000
1311b8b15a
14979d236
1564a75d3
hex4494c00

71912448 has 198 divisors, whose sum is σ = 228748156. Its totient is φ = 22560768.

The previous prime is 71912443. The next prime is 71912459. The reversal of 71912448 is 84421917.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71912441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4230136 + ... + 4230152.

Almost surely, 271912448 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 71912448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114374078).

71912448 is an abundant number, since it is smaller than the sum of its proper divisors (156835708).

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

71912448 is an equidigital number, since it uses as much as digits as its factorization.

71912448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 22 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71912448 is about 8480.1207538572. The cubic root of 71912448 is about 415.8480707527.

The spelling of 71912448 in words is "seventy-one million, nine hundred twelve thousand, four hundred forty-eight".