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71974912 = 21423191
BaseRepresentation
bin1000100101001…
…00000000000000
312000102201000111
410102210000000
5121411144122
611050401104
71532530252
oct422440000
9160381014
1071974912
113769a8a9
1220130194
1311bb0709
1497b7cd2
1564bad77
hex44a4000

71974912 has 60 divisors (see below), whose sum is σ = 150990336. Its totient is φ = 34242560.

The previous prime is 71974871. The next prime is 71974913. The reversal of 71974912 is 21947917.

Its product of digits (31752) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (71974913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376737 + ... + 376927.

Almost surely, 271974912 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 71974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75495168).

71974912 is an abundant number, since it is smaller than the sum of its proper divisors (79015424).

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

71974912 is an equidigital number, since it uses as much as digits as its factorization.

71974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its digits is 31752, while the sum is 40.

The square root of 71974912 is about 8483.8029208604. The cubic root of 71974912 is about 415.9684394203.

The spelling of 71974912 in words is "seventy-one million, nine hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 191 256 368 382 512 736 764 1024 1472 1528 2048 2944 3056 4096 4393 5888 6112 8192 8786 11776 12224 16384 17572 23552 24448 35144 47104 48896 70288 94208 97792 140576 188416 195584 281152 376832 391168 562304 782336 1124608 1564672 2249216 3129344 4498432 8996864 17993728 35987456 71974912