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523485378 = 232131926197
BaseRepresentation
bin11111001100111…
…100000011000010
31100111000210221100
4133030330003002
52033003013003
6123540035230
715654360303
oct3714740302
91314023840
10523485378
11249548349
12127392b16
13845b8a80
144d74a7aa
1530e56ba3
hex1f33c0c2

523485378 has 72 divisors (see below), whose sum is σ = 1289345148. Its totient is φ = 152570304.

The previous prime is 523485373. The next prime is 523485379. The reversal of 523485378 is 873584325.

523485378 is a `hidden beast` number, since 523 + 4 + 8 + 53 + 78 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491641929 + 31843449 = 22173^2 + 5643^2 .

It is not an unprimeable number, because it can be changed into a prime (523485373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81376 + ... + 87572.

Almost surely, 2523485378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523485378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644672574).

523485378 is an abundant number, since it is smaller than the sum of its proper divisors (765859770).

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

523485378 is a wasteful number, since it uses less digits than its factorization.

523485378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6234 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 523485378 is about 22879.8028400596. The cubic root of 523485378 is about 805.9377870282.

The spelling of 523485378 in words is "five hundred twenty-three million, four hundred eighty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 361 494 722 741 1083 1482 2166 2223 3249 4446 4693 6197 6498 9386 12394 14079 18591 28158 37182 42237 55773 80561 84474 111546 117743 161122 235486 241683 353229 483366 706458 725049 1059687 1450098 1530659 2119374 2237117 3061318 4474234 4591977 6711351 9183954 13422702 13775931 20134053 27551862 29082521 40268106 58165042 87247563 174495126 261742689 523485378