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427443642 = 23419913259
BaseRepresentation
bin11001011110100…
…100010110111010
31002210022101110000
4121132210112322
51333411144032
6110225333430
713410132243
oct3136442672
91083271400
10427443642
111aa30a80a
12bb197276
136a72cb42
1440aa9cca
15277d4e7c
hex197a45ba

427443642 has 40 divisors (see below), whose sum is σ = 962676000. Its totient is φ = 141754536.

The previous prime is 427443581. The next prime is 427443649. The reversal of 427443642 is 246344724.

427443642 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 4 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427443597 and 427443606.

It is not an unprimeable number, because it can be changed into a prime (427443649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25609 + ... + 38867.

It is an arithmetic number, because the mean of its divisors is an integer number (24066900).

Almost surely, 2427443642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427443642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481338000).

427443642 is an abundant number, since it is smaller than the sum of its proper divisors (535232358).

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

427443642 is a wasteful number, since it uses less digits than its factorization.

427443642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13463 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 427443642 is about 20674.7102035313. The cubic root of 427443642 is about 753.2855221090.

The spelling of 427443642 in words is "four hundred twenty-seven million, four hundred forty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 597 1194 1791 3582 5373 10746 13259 16119 26518 32238 39777 79554 119331 238662 357993 715986 1073979 2147958 2638541 5277082 7915623 15831246 23746869 47493738 71240607 142481214 213721821 427443642