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427274736 = 2437171931127
BaseRepresentation
bin11001011101111…
…011000111110000
31002202222210202020
4121131323013300
51333340242421
6110221551440
713405526640
oct3135730760
91082883666
10427274736
111aa204919
12bb115580
136a6a0cb5
1440a64520
152779edc6
hex1977b1f0

427274736 has 320 divisors, whose sum is σ = 1462763520. Its totient is φ = 104509440.

The previous prime is 427274713. The next prime is 427274737. The reversal of 427274736 is 637472724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427274737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3364305 + ... + 3364431.

It is an arithmetic number, because the mean of its divisors is an integer number (4571136).

Almost surely, 2427274736 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 427274736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731381760).

427274736 is an abundant number, since it is smaller than the sum of its proper divisors (1035488784).

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

427274736 is a wasteful number, since it uses less digits than its factorization.

427274736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 395136, while the sum is 42.

The square root of 427274736 is about 20670.6249542678. The cubic root of 427274736 is about 753.1862878127.

The spelling of 427274736 in words is "four hundred twenty-seven million, two hundred seventy-four thousand, seven hundred thirty-six".