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427193568 = 25331953491
BaseRepresentation
bin11001011101100…
…111010011100000
31002202211200102000
4121131213103200
51333330143233
6110220124000
713405041204
oct3135472340
91082750360
10427193568
111aa15993a
12bb096600
136a673079
1440a42b04
1527785d13
hex197674e0

427193568 has 192 divisors, whose sum is σ = 1339027200. Its totient is φ = 132088320.

The previous prime is 427193567. The next prime is 427193573. The reversal of 427193568 is 865391724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427193567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869803 + ... + 870293.

It is an arithmetic number, because the mean of its divisors is an integer number (6974100).

Almost surely, 2427193568 is an apocalyptic number.

427193568 is a gapful number since it is divisible by the number (48) 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 427193568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669513600).

427193568 is an abundant number, since it is smaller than the sum of its proper divisors (911833632).

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

427193568 is a wasteful number, since it uses less digits than its factorization.

427193568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 427193568 is about 20668.6614951235. The cubic root of 427193568 is about 753.1385913377.

The spelling of 427193568 in words is "four hundred twenty-seven million, one hundred ninety-three thousand, five hundred sixty-eight".