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71749092 = 223191372297
BaseRepresentation
bin1000100011011…
…00110111100100
312000000020020210
410101230313210
5121331432332
611041455420
71530600012
oct421546744
9160006223
1071749092
1137556178
1220041570
1311b319ac
1497598b2
156473ecc
hex446cde4

71749092 has 48 divisors (see below), whose sum is σ = 177589440. Its totient is φ = 22482432.

The previous prime is 71749063. The next prime is 71749099. The reversal of 71749092 is 29094717.

It is a self number, because there is not a number n which added to its sum of digits gives 71749092.

It is not an unprimeable number, because it can be changed into a prime (71749099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30088 + ... + 32384.

It is an arithmetic number, because the mean of its divisors is an integer number (3699780).

Almost surely, 271749092 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 71749092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88794720).

71749092 is an abundant number, since it is smaller than the sum of its proper divisors (105840348).

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

71749092 is a wasteful number, since it uses less digits than its factorization.

71749092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 71749092 is about 8470.4835753338. The cubic root of 71749092 is about 415.5329524767.

The spelling of 71749092 in words is "seventy-one million, seven hundred forty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2297 2603 4594 5206 6891 7809 9188 10412 13782 15618 27564 31236 43643 87286 130929 174572 261858 314689 523716 629378 944067 1258756 1888134 3776268 5979091 11958182 17937273 23916364 35874546 71749092