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427145652 = 223231382747
BaseRepresentation
bin11001011101011…
…011100110110100
31002202202020200100
4121131123212310
51333322130102
6110215114100
713404451413
oct3135334664
91082666610
10427145652
111aa12693a
12bb072930
136a65730b
1440a2d47a
1527776a1c
hex1975b9b4

427145652 has 36 divisors (see below), whose sum is σ = 1114562176. Its totient is φ = 137788560.

The previous prime is 427145647. The next prime is 427145659. The reversal of 427145652 is 256541724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427145659) 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 11 ways as a sum of consecutive naturals, for example, 190258 + ... + 192489.

Almost surely, 2427145652 is an apocalyptic number.

It is an amenable number.

427145652 is an abundant number, since it is smaller than the sum of its proper divisors (687416524).

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

427145652 is a wasteful number, since it uses less digits than its factorization.

427145652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382788 (or 382783 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 427145652 is about 20667.5023164387. The cubic root of 427145652 is about 753.1104317861.

The spelling of 427145652 in words is "four hundred twenty-seven million, one hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 382747 765494 1148241 1530988 2296482 3444723 4592964 6889446 11865157 13778892 23730314 35595471 47460628 71190942 106786413 142381884 213572826 427145652