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427056192 = 2633534663
BaseRepresentation
bin11001011101000…
…101110001000000
31002202120200222000
4121131011301000
51333311244232
6110213144000
713403626533
oct3135056100
91082520860
10427056192
111aa075702
12bb02b000
136a625694
1440a08a1a
152775a27c
hex19745c40

427056192 has 112 divisors (see below), whose sum is σ = 1279428480. Its totient is φ = 139636224.

The previous prime is 427056143. The next prime is 427056197. The reversal of 427056192 is 291650724.

427056192 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 561 + 92 = 666.

It is a super-2 number, since 2×4270561922 = 364753982251081728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (427056197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89253 + ... + 93915.

Almost surely, 2427056192 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 427056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639714240).

427056192 is an abundant number, since it is smaller than the sum of its proper divisors (852372288).

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

427056192 is a wasteful number, since it uses less digits than its factorization.

427056192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 427056192 is about 20665.3379357803. The cubic root of 427056192 is about 753.0578517797.

The spelling of 427056192 in words is "four hundred twenty-seven million, fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1696 1728 1908 2544 2862 3392 3816 4663 5088 5724 7632 9326 10176 11448 13989 15264 18652 22896 27978 30528 37304 41967 45792 55956 74608 83934 91584 111912 125901 149216 167868 223824 247139 251802 298432 335736 447648 494278 503604 671472 741417 895296 988556 1007208 1342944 1482834 1977112 2014416 2224251 2685888 2965668 3954224 4028832 4448502 5931336 6672753 7908448 8057664 8897004 11862672 13345506 15816896 17794008 23725344 26691012 35588016 47450688 53382024 71176032 106764048 142352064 213528096 427056192