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71242976 = 2574767101
BaseRepresentation
bin1000011111100…
…01010011100000
311222001111222202
410033301103200
5121214233401
611022552332
71523361320
oct417612340
9158044882
1071242976
113723a9a2
121ba386a8
13119b550c
149667280
1563c406b
hex43f14e0

71242976 has 96 divisors (see below), whose sum is σ = 167795712. Its totient is φ = 29145600.

The previous prime is 71242961. The next prime is 71242993. The reversal of 71242976 is 67924217.

Its product of digits (42336) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705326 + ... + 705426.

It is an arithmetic number, because the mean of its divisors is an integer number (1747872).

Almost surely, 271242976 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 71242976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83897856).

71242976 is an abundant number, since it is smaller than the sum of its proper divisors (96552736).

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

71242976 is a wasteful number, since it uses less digits than its factorization.

71242976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 71242976 is about 8440.5554319606. Note that the first 3 decimals coincide. The cubic root of 71242976 is about 414.5535936266.

The spelling of 71242976 in words is "seventy-one million, two hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 67 94 101 112 134 188 202 224 268 329 376 404 469 536 658 707 752 808 938 1072 1316 1414 1504 1616 1876 2144 2632 2828 3149 3232 3752 4747 5264 5656 6298 6767 7504 9494 10528 11312 12596 13534 15008 18988 22043 22624 25192 27068 33229 37976 44086 47369 50384 54136 66458 75952 88172 94738 100768 108272 132916 151904 176344 189476 216544 265832 318049 352688 378952 531664 636098 705376 757904 1063328 1272196 1515808 2226343 2544392 4452686 5088784 8905372 10177568 17810744 35621488 71242976