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71930944 = 261723889
BaseRepresentation
bin1000100100110…
…01010001000000
312000100110201001
410102121101000
5121403242234
611045421344
71532255131
oct422312100
9160313631
1071930944
113766a868
122010a854
1311b966b7
1497a5c88
1564acd14
hex4499440

71930944 has 42 divisors (see below), whose sum is σ = 151667210. Its totient is φ = 33841152.

The previous prime is 71930939. The next prime is 71930983. The reversal of 71930944 is 44903917.

It can be written as a sum of positive squares in 3 ways, for example, as 37356544 + 34574400 = 6112^2 + 5880^2 .

It is a super-2 number, since 2×719309442 = 10348121409462272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16552 + ... + 20440.

Almost surely, 271930944 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 71930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75833605).

71930944 is an abundant number, since it is smaller than the sum of its proper divisors (79736266).

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

71930944 is a wasteful number, since it uses less digits than its factorization.

71930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 71930944 is about 8481.2112342519. The cubic root of 71930944 is about 415.8837199660.

The spelling of 71930944 in words is "seventy-one million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 3889 4624 7778 9248 15556 18496 31112 62224 66113 124448 132226 248896 264452 528904 1057808 1123921 2115616 2247842 4231232 4495684 8991368 17982736 35965472 71930944