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71389472 = 2572114139
BaseRepresentation
bin1000100000101…
…01000100100000
311222022221221112
410100111010200
5121233430342
611030042452
71524541400
oct420250440
9158287845
1071389472
113732aa70
121baa9428
1311a370bb
1496a4800
156402682
hex4415120

71389472 has 72 divisors (see below), whose sum is σ = 178400880. Its totient is φ = 27807360.

The previous prime is 71389471. The next prime is 71389499. The reversal of 71389472 is 27498317.

It is not an unprimeable number, because it can be changed into a prime (71389471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15179 + ... + 19317.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 271389472 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 71389472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200440).

71389472 is an abundant number, since it is smaller than the sum of its proper divisors (107011408).

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

71389472 is a wasteful number, since it uses less digits than its factorization.

71389472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4159 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 71389472 is about 8449.2290772591. The cubic root of 71389472 is about 414.8375461309.

The spelling of 71389472 in words is "seventy-one million, three hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4139 4312 8278 8624 16556 17248 28973 33112 45529 57946 66224 91058 115892 132448 182116 202811 231784 318703 364232 405622 463568 637406 728464 811244 927136 1274812 1456928 1622488 2230921 2549624 3244976 4461842 5099248 6489952 8923684 10198496 17847368 35694736 71389472