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482975752 = 23721498269
BaseRepresentation
bin11100110010011…
…010000000001000
31020122210201011211
4130302122000020
51442120211002
6115531502504
714653140400
oct3462320010
91218721154
10482975752
11228699916
121158b7a34
13790a428c
1448203800
152c603dd7
hex1cc9a008

482975752 has 48 divisors (see below), whose sum is σ = 1060627500. Its totient is φ = 205575552.

The previous prime is 482975737. The next prime is 482975761. The reversal of 482975752 is 257579284.

It can be written as a sum of positive squares in 2 ways, for example, as 482505156 + 470596 = 21966^2 + 686^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 482975696 and 482975705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54274 + ... + 62542.

Almost surely, 2482975752 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 482975752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530313750).

482975752 is an abundant number, since it is smaller than the sum of its proper divisors (577651748).

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

482975752 is a wasteful number, since it uses less digits than its factorization.

482975752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8427 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 49.

The square root of 482975752 is about 21976.7093078104. The cubic root of 482975752 is about 784.5882065390.

The spelling of 482975752 in words is "four hundred eighty-two million, nine hundred seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 149 196 298 392 596 1043 1192 2086 4172 7301 8269 8344 14602 16538 29204 33076 57883 58408 66152 115766 231532 405181 463064 810362 1232081 1620724 2464162 3241448 4928324 8624567 9856648 17249134 34498268 60371969 68996536 120743938 241487876 482975752