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427694784 = 26311296983
BaseRepresentation
bin11001011111100…
…001101011000000
31002210210010221120
4121133201223000
51333442213114
6110234552240
713412226366
oct3137415300
91083703846
10427694784
111aa471470
12bb298680
136a7ba24a
1440b33636
15278345a9
hex197e1ac0

427694784 has 112 divisors (see below), whose sum is σ = 1277233920. Its totient is φ = 125117440.

The previous prime is 427694777. The next prime is 427694797. The reversal of 427694784 is 487496724.

It is a happy 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, 57757 + ... + 64739.

Almost surely, 2427694784 is an apocalyptic number.

427694784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427694784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638616960).

427694784 is an abundant number, since it is smaller than the sum of its proper divisors (849539136).

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

427694784 is a wasteful number, since it uses less digits than its factorization.

427694784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7028 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 427694784 is about 20680.7829639015. The cubic root of 427694784 is about 753.4330227190.

The spelling of 427694784 in words is "four hundred twenty-seven million, six hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 5104 5568 6983 7656 10208 13966 15312 20416 20949 27932 30624 41898 55864 61248 76813 83796 111728 153626 167592 202507 223456 230439 307252 335184 405014 446912 460878 607521 614504 670368 810028 921756 1215042 1229008 1340736 1620056 1843512 2227577 2430084 2458016 3240112 3687024 4455154 4860168 4916032 6480224 6682731 7374048 8910308 9720336 12960448 13365462 14748096 17820616 19440672 26730924 35641232 38881344 53461848 71282464 106923696 142564928 213847392 427694784