Search a number
-
+
71928246 = 231331151197
BaseRepresentation
bin1000100100110…
…00100110110110
312000100100000010
410102120212312
5121403200441
611045401050
71532244225
oct422304666
9160310003
1071928246
1137668835
1220109186
1311b953c0
1497a4cbc
1564ac116
hex44989b6

71928246 has 64 divisors (see below), whose sum is σ = 161796096. Its totient is φ = 21168000.

The previous prime is 71928239. The next prime is 71928247. The reversal of 71928246 is 64282917.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71928247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365020 + ... + 365216.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 271928246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71928246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80898048).

71928246 is an abundant number, since it is smaller than the sum of its proper divisors (89867850).

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

71928246 is a wasteful number, since it uses less digits than its factorization.

71928246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397.

The product of its digits is 48384, while the sum is 39.

The square root of 71928246 is about 8481.0521752905. The cubic root of 71928246 is about 415.8785202182.

The spelling of 71928246 in words is "seventy-one million, nine hundred twenty-eight thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 151 186 197 302 394 403 453 591 806 906 1182 1209 1963 2418 2561 3926 4681 5122 5889 6107 7683 9362 11778 12214 14043 15366 18321 28086 29747 36642 59494 60853 79391 89241 121706 158782 178482 182559 238173 365118 386711 476346 773422 922157 1160133 1844314 2320266 2766471 5532942 11988041 23976082 35964123 71928246