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427444820 = 2251119310067
BaseRepresentation
bin11001011110100…
…100101001010100
31002210022110001122
4121132210221110
51333411213240
6110225343112
713410135545
oct3136445124
91083273048
10427444820
111aa310690
12bb197a98
136a73053a
1440aaa4cc
15277d54b5
hex197a4a54

427444820 has 48 divisors (see below), whose sum is σ = 984408768. Its totient is φ = 154613760.

The previous prime is 427444817. The next prime is 427444847. The reversal of 427444820 is 28444724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37427 + ... + 47493.

It is an arithmetic number, because the mean of its divisors is an integer number (20508516).

Almost surely, 2427444820 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 427444820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492204384).

427444820 is an abundant number, since it is smaller than the sum of its proper divisors (556963948).

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

427444820 is a wasteful number, since it uses less digits than its factorization.

427444820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 427444820 is about 20674.7386924237. The cubic root of 427444820 is about 753.2862141063.

It can be divided in two parts, 4274 and 44820, that added together give a palindrome (49094).

The spelling of 427444820 in words is "four hundred twenty-seven million, four hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10067 10615 20134 21230 40268 42460 50335 100670 110737 201340 221474 442948 553685 1107370 1942931 2214740 3885862 7771724 9714655 19429310 21372241 38858620 42744482 85488964 106861205 213722410 427444820