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71274048 = 263438997
BaseRepresentation
bin1000011111110…
…00111001000000
311222010002121120
410033320321000
5121221232143
611023352240
71523551026
oct417707100
9158102546
1071274048
113726127a
121ba52680
13119c66c1
149674716
1563cd383
hex43f8e40

71274048 has 112 divisors (see below), whose sum is σ = 197144640. Its totient is φ = 22708224.

The previous prime is 71274023. The next prime is 71274101. The reversal of 71274048 is 84047217.

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, 734736 + ... + 734832.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 271274048 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 71274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98572320).

71274048 is an abundant number, since it is smaller than the sum of its proper divisors (125870592).

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

71274048 is a wasteful number, since it uses less digits than its factorization.

71274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 71274048 is about 8442.3958684724. The cubic root of 71274048 is about 414.6138528400.

It can be divided in two parts, 7127 and 4048, that added together give a triangular number (11175 = T149).

The spelling of 71274048 in words is "seventy-one million, two hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 89 96 97 129 172 178 192 194 258 267 291 344 356 388 516 534 582 688 712 776 1032 1068 1164 1376 1424 1552 2064 2136 2328 2752 2848 3104 3827 4128 4171 4272 4656 5696 6208 7654 8256 8342 8544 8633 9312 11481 12513 15308 16684 17088 17266 18624 22962 25026 25899 30616 33368 34532 45924 50052 51798 61232 66736 69064 91848 100104 103596 122464 133472 138128 183696 200208 207192 244928 266944 276256 367392 371219 400416 414384 552512 734784 742438 800832 828768 1113657 1484876 1657536 2227314 2969752 4454628 5939504 8909256 11879008 17818512 23758016 35637024 71274048