Search a number
-
+
71308248 = 233112571051
BaseRepresentation
bin1000100000000…
…01001111011000
311222011211112020
410100001033120
5121223330443
611024214440
71524052524
oct420011730
9158154466
1071308248
1137284a40
121ba6a420
1311a0913b
149682d84
1563d8583
hex44013d8

71308248 has 64 divisors (see below), whose sum is σ = 195419520. Its totient is φ = 21504000.

The previous prime is 71308247. The next prime is 71308249. The reversal of 71308248 is 84280317.

It is an interprime number because it is at equal distance from previous prime (71308247) and next prime (71308249).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71308243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67323 + ... + 68373.

It is an arithmetic number, because the mean of its divisors is an integer number (3053430).

Almost surely, 271308248 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 71308248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97709760).

71308248 is an abundant number, since it is smaller than the sum of its proper divisors (124111272).

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

71308248 is a wasteful number, since it uses less digits than its factorization.

71308248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 71308248 is about 8444.4211169268. The cubic root of 71308248 is about 414.6801580697.

The spelling of 71308248 in words is "seventy-one million, three hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 514 771 1028 1051 1542 2056 2102 2827 3084 3153 4204 5654 6168 6306 8408 8481 11308 11561 12612 16962 22616 23122 25224 33924 34683 46244 67848 69366 92488 138732 270107 277464 540214 810321 1080428 1620642 2160856 2971177 3241284 5942354 6482568 8913531 11884708 17827062 23769416 35654124 71308248