Search a number
-
+
428663152 = 24295317431
BaseRepresentation
bin11001100011001…
…110000101110000
31002212121100022001
4121203032011300
51334214210102
6110311423344
713423401541
oct3143160560
91085540261
10428663152
111aaa72a75
12bb684b54
136aa68c48
1440d064c8
1527976487
hex198ce170

428663152 has 40 divisors (see below), whose sum is σ = 875435040. Its totient is φ = 203024640.

The previous prime is 428663149. The next prime is 428663189. The reversal of 428663152 is 251366824.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15877 + ... + 33307.

It is an arithmetic number, because the mean of its divisors is an integer number (21885876).

Almost surely, 2428663152 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 428663152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437717520).

428663152 is an abundant number, since it is smaller than the sum of its proper divisors (446771888).

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

428663152 is a wasteful number, since it uses less digits than its factorization.

428663152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521 (or 17515 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 428663152 is about 20704.1819930177. The cubic root of 428663152 is about 754.0012242380.

The spelling of 428663152 in words is "four hundred twenty-eight million, six hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 6148 12296 17431 24592 34862 69724 139448 278896 505499 923843 1010998 1847686 2021996 3695372 4043992 7390744 8087984 14781488 26791447 53582894 107165788 214331576 428663152