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71445744 = 24321034817
BaseRepresentation
bin1000100001000…
…10110011110000
311222102211010200
410100202303300
5121242230434
611031155200
71525164426
oct420426360
9158384120
1071445744
1137369277
121bb15b00
1311a568b6
1496bb116
156414199
hex4422cf0

71445744 has 60 divisors (see below), whose sum is σ = 201932016. Its totient is φ = 23579136.

The previous prime is 71445727. The next prime is 71445767. The reversal of 71445744 is 44754417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71445699 and 71445708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12424 + ... + 17240.

Almost surely, 271445744 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 71445744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100966008).

71445744 is an abundant number, since it is smaller than the sum of its proper divisors (130486272).

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

71445744 is a wasteful number, since it uses less digits than its factorization.

71445744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934 (or 4925 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 71445744 is about 8452.5584292568. The cubic root of 71445744 is about 414.9465146148.

The spelling of 71445744 in words is "seventy-one million, four hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4817 4944 7416 9634 14451 14832 19268 28902 38536 43353 57804 77072 86706 115608 173412 231216 346824 496151 693648 992302 1488453 1984604 2976906 3969208 4465359 5953812 7938416 8930718 11907624 17861436 23815248 35722872 71445744