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285005952 = 2735721117
BaseRepresentation
bin10000111111001…
…101100010000000
3201212021210200000
4100333031202000
51040430142302
644140400000
710030340100
oct2077154200
9655253600
10285005952
11136973210
127b546000
134707b09a
1429bcd200
151a04b31c
hex10fcd880

285005952 has 576 divisors, whose sum is σ = 1142799840. Its totient is φ = 69672960.

The previous prime is 285005927. The next prime is 285005953. The reversal of 285005952 is 259500582.

It is a tau number, because it is divible by the number of its divisors (576).

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 (285005953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16765048 + ... + 16765064.

Almost surely, 2285005952 is an apocalyptic number.

285005952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571399920).

285005952 is an abundant number, since it is smaller than the sum of its proper divisors (857793888).

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

285005952 is a wasteful number, since it uses less digits than its factorization.

285005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 285005952 is about 16882.1192982398. The cubic root of 285005952 is about 658.0890176836.

The spelling of 285005952 in words is "two hundred eighty-five million, five thousand, nine hundred fifty-two".