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285051032 = 23724911481
BaseRepresentation
bin10000111111011…
…000100010011000
3201212101002111122
4100333120202120
51040433113112
644141344412
710030615400
oct2077304230
9655332448
10285051032
111369a4072
127b568108
1347095766
1429c01800
151a059872
hex10fd8898

285051032 has 48 divisors (see below), whose sum is σ = 623418120. Its totient is φ = 121833600.

The previous prime is 285051017. The next prime is 285051037. The reversal of 285051032 is 230150582.

It is a junction number, because it is equal to n+sod(n) for n = 285050992 and 285051010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285051037) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 191732 + ... + 193212.

Almost surely, 2285051032 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 285051032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311709060).

285051032 is an abundant number, since it is smaller than the sum of its proper divisors (338367088).

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

285051032 is a wasteful number, since it uses less digits than its factorization.

285051032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 285051032 is about 16883.4543858773. The cubic root of 285051032 is about 658.1237129694.

The spelling of 285051032 in words is "two hundred eighty-five million, fifty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 491 982 1481 1964 2962 3437 3928 5924 6874 10367 11848 13748 20734 24059 27496 41468 48118 72569 82936 96236 145138 192472 290276 580552 727171 1454342 2908684 5090197 5817368 10180394 20360788 35631379 40721576 71262758 142525516 285051032