Search a number
71978256 = 2432721012
BaseRepresentation
bin1000100101001…
…00110100010000
312000102212121100
410102210310100
5121411301011
611050424400
71532543100
oct422446420
9160385540
1071978256
11376a2369
1220132100
1311bb20ac
1497b9200
1564bbd56
hex44a4d10

71978256 has 135 divisors (see below), whose sum is σ = 236670213. Its totient is φ = 20361600.

The previous prime is 71978239. The next prime is 71978287. The reversal of 71978256 is 65287917.

The square root of 71978256 is 8484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 2822400 = 8316^2 + 1680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 712606 + ... + 712706.

Almost surely, 271978256 is an apocalyptic number.

71978256 is the 8484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71978256

71978256 is an abundant number, since it is smaller than the sum of its proper divisors (164691957).

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

71978256 is a wasteful number, since it uses less digits than its factorization.

71978256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The cubic root of 71978256 is about 415.9748813729.

The spelling of 71978256 in words is "seventy-one million, nine hundred seventy-eight thousand, two hundred fifty-six".