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427168896 = 27371114447
BaseRepresentation
bin11001011101100…
…001010010000000
31002202210102120020
4121131201102000
51333323401041
6110215413440
713404606240
oct3135412200
91082712506
10427168896
111aa142350
12bb084280
136a664a7b
1440a37b20
152777d866
hex19761480

427168896 has 128 divisors (see below), whose sum is σ = 1414748160. Its totient is φ = 110945280.

The previous prime is 427168831. The next prime is 427168921. The reversal of 427168896 is 698861724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22345 + ... + 36791.

It is an arithmetic number, because the mean of its divisors is an integer number (11052720).

Almost surely, 2427168896 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 427168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707374080).

427168896 is an abundant number, since it is smaller than the sum of its proper divisors (987579264).

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

427168896 is a wasteful number, since it uses less digits than its factorization.

427168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482 (or 14470 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 427168896 is about 20668.0646408898. The cubic root of 427168896 is about 753.1240922172.

The spelling of 427168896 in words is "four hundred twenty-seven million, one hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14447 14784 28894 29568 43341 57788 86682 101129 115576 158917 173364 202258 231152 303387 317834 346728 404516 462304 476751 606774 635668 693456 809032 924608 953502 1112419 1213548 1271336 1386912 1618064 1849216 1907004 2224838 2427096 2542672 2773824 3236128 3337257 3814008 4449676 4854192 5085344 5547648 6472256 6674514 7628016 8899352 9708384 10170688 12944512 13349028 15256032 17798704 19416768 20341376 26698056 30512064 35597408 38833536 53396112 61024128 71194816 106792224 142389632 213584448 427168896