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427936224 = 25316932633
BaseRepresentation
bin11001100000011…
…100100111100000
31002211020102010210
4121200130213200
51334022424344
6110244054120
713414253322
oct3140344740
91084212123
10427936224
111aa616901
12bb394340
136a873101
1440b97612
1527880db9
hex1981c9e0

427936224 has 48 divisors (see below), whose sum is σ = 1124422992. Its totient is φ = 142507008.

The previous prime is 427936219. The next prime is 427936231. The reversal of 427936224 is 422639724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4279362242 = 366258823622756352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161212 + ... + 163844.

It is an arithmetic number, because the mean of its divisors is an integer number (23425479).

Almost surely, 2427936224 is an apocalyptic number.

It is an amenable number.

427936224 is an abundant number, since it is smaller than the sum of its proper divisors (696486768).

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

427936224 is a wasteful number, since it uses less digits than its factorization.

427936224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4331 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 427936224 is about 20686.6194434954. The cubic root of 427936224 is about 753.5747707260.

The spelling of 427936224 in words is "four hundred twenty-seven million, nine hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1693 2633 3386 5079 5266 6772 7899 10158 10532 13544 15798 20316 21064 27088 31596 40632 42128 54176 63192 81264 84256 126384 162528 252768 4457669 8915338 13373007 17830676 26746014 35661352 53492028 71322704 106984056 142645408 213968112 427936224