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71880448 = 28614603
BaseRepresentation
bin1000100100011…
…00111100000000
312000020220102211
410102030330000
5121400133243
611044351504
71531654663
oct422147400
9160226384
1071880448
1137635932
12200a5594
1311b79713
1497916da
15649cd9d
hex448cf00

71880448 has 36 divisors (see below), whose sum is σ = 145863928. Its totient is φ = 35343360.

The previous prime is 71880443. The next prime is 71880461. The reversal of 71880448 is 84408817.

It is a self number, because there is not a number n which added to its sum of digits gives 71880448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71880443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13315 + ... + 17917.

Almost surely, 271880448 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 71880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72931964).

71880448 is an abundant number, since it is smaller than the sum of its proper divisors (73983480).

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

71880448 is an equidigital number, since it uses as much as digits as its factorization.

71880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 71880448 is about 8478.2337783291. The cubic root of 71880448 is about 415.7863794742.

The spelling of 71880448 in words is "seventy-one million, eight hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 4603 7808 9206 15616 18412 36824 73648 147296 280783 294592 561566 589184 1123132 1178368 2246264 4492528 8985056 17970112 35940224 71880448