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427246236 = 223219709881
BaseRepresentation
bin11001011101110…
…100001010011100
31002202221100122200
4121131310022130
51333333334421
6110221211500
713405350564
oct3135641234
91082840580
10427246236
111aa19546a
12bb100b90
136a691031
1440a57da4
1527796726
hex1977429c

427246236 has 72 divisors (see below), whose sum is σ = 1139720400. Its totient is φ = 134576640.

The previous prime is 427246231. The next prime is 427246243. The reversal of 427246236 is 632642724.

427246236 is a `hidden beast` number, since 4 + 2 + 7 + 24 + 623 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427246236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427246231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484516 + ... + 485396.

It is an arithmetic number, because the mean of its divisors is an integer number (15829450).

Almost surely, 2427246236 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 427246236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569860200).

427246236 is an abundant number, since it is smaller than the sum of its proper divisors (712474164).

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

427246236 is a wasteful number, since it uses less digits than its factorization.

427246236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1614 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 427246236 is about 20669.9355586804. The cubic root of 427246236 is about 753.1695411431.

The spelling of 427246236 in words is "four hundred twenty-seven million, two hundred forty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 709 881 1418 1762 2127 2643 2836 3524 4254 5286 6381 7929 8508 10572 12762 13471 15858 16739 25524 26942 31716 33478 40413 50217 53884 66956 80826 100434 121239 150651 161652 200868 242478 301302 484956 602604 624629 1249258 1873887 2498516 3747774 5621661 7495548 11243322 11867951 22486644 23735902 35603853 47471804 71207706 106811559 142415412 213623118 427246236