Search a number
-
+
467030624 = 2531215187
BaseRepresentation
bin11011110101100…
…101001001100000
31012112210121120112
4123311211021200
51424024434444
6114202030452
714400460214
oct3365451140
91175717515
10467030624
1121a699025
121104a8428
13759b06a8
1446052944
152b00469e
hex1bd65260

467030624 has 36 divisors (see below), whose sum is σ = 950146092. Its totient is φ = 225967680.

The previous prime is 467030591. The next prime is 467030633. The reversal of 467030624 is 426030764.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23159 + ... + 38345.

It is an arithmetic number, because the mean of its divisors is an integer number (26392947).

Almost surely, 2467030624 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 467030624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475073046).

467030624 is an abundant number, since it is smaller than the sum of its proper divisors (483115468).

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

467030624 is a wasteful number, since it uses less digits than its factorization.

467030624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 467030624 is about 21610.8913282169. The cubic root of 467030624 is about 775.8571848987.

The spelling of 467030624 in words is "four hundred sixty-seven million, thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 7688 15187 15376 30374 30752 60748 121496 242992 470797 485984 941594 1883188 3766376 7532752 14594707 15065504 29189414 58378828 116757656 233515312 467030624