Search a number
-
+
427054208 = 277371137
BaseRepresentation
bin11001011101000…
…101010010000000
31002202120121020112
4121131011102000
51333311213313
6110213130452
713403621000
oct3135052200
91082517215
10427054208
111aa074169
12bb029a28
136a6247c9
1440a08000
15277598a8
hex19745480

427054208 has 128 divisors (see below), whose sum is σ = 1013472000. Its totient is φ = 179128320.

The previous prime is 427054193. The next prime is 427054211. The reversal of 427054208 is 802450724.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3117116 + ... + 3117252.

It is an arithmetic number, because the mean of its divisors is an integer number (7917750).

Almost surely, 2427054208 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 427054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506736000).

427054208 is an abundant number, since it is smaller than the sum of its proper divisors (586417792).

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

427054208 is an equidigital number, since it uses as much as digits as its factorization.

427054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 427054208 is about 20665.2899326383. The cubic root of 427054208 is about 753.0566856029.

The spelling of 427054208 in words is "four hundred twenty-seven million, fifty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 137 142 196 224 274 284 343 392 448 497 548 568 686 784 896 959 994 1096 1136 1372 1568 1918 1988 2192 2272 2744 3136 3479 3836 3976 4384 4544 5488 6272 6713 6958 7672 7952 8768 9088 9727 10976 13426 13916 15344 15904 17536 19454 21952 24353 26852 27832 30688 31808 38908 43904 46991 48706 53704 55664 61376 63616 68089 77816 93982 97412 107408 111328 122752 136178 155632 187964 194824 214816 222656 272356 311264 375928 389648 429632 445312 476623 544712 622528 751856 779296 859264 953246 1089424 1245056 1503712 1558592 1906492 2178848 3007424 3117184 3336361 3812984 4357696 6014848 6672722 7625968 8715392 13345444 15251936 26690888 30503872 53381776 61007744 106763552 213527104 427054208