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71429248 = 271197523
BaseRepresentation
bin1000100000111…
…10110010000000
311222101222111201
410100132302000
5121241213443
611030550544
71525065352
oct420366200
9158358451
1071429248
1137357940
121bb08454
1311a4c237
1496b50d2
15640e34d
hex441ec80

71429248 has 64 divisors (see below), whose sum is σ = 157137120. Its totient is φ = 32071680.

The previous prime is 71429209. The next prime is 71429261. The reversal of 71429248 is 84292417.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136315 + ... + 136837.

Almost surely, 271429248 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 71429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78568560).

71429248 is an abundant number, since it is smaller than the sum of its proper divisors (85707872).

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

71429248 is a wasteful number, since it uses less digits than its factorization.

71429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 71429248 is about 8451.5825736959. The cubic root of 71429248 is about 414.9145766985.

The spelling of 71429248 in words is "seventy-one million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 352 388 523 704 776 1046 1067 1408 1552 2092 2134 3104 4184 4268 5753 6208 8368 8536 11506 12416 16736 17072 23012 33472 34144 46024 50731 66944 68288 92048 101462 136576 184096 202924 368192 405848 558041 736384 811696 1116082 1623392 2232164 3246784 4464328 6493568 8928656 17857312 35714624 71429248