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828563712 = 2833113469
BaseRepresentation
bin110001011000101…
…110000100000000
32010202002101201220
4301120232010000
53144103014322
6214114555040
726350450434
oct6130560400
92122071656
10828563712
113957801a9
121b1598a80
131028741b2
147c0829c4
154cb1a55c
hex3162e100

828563712 has 72 divisors (see below), whose sum is σ = 2212916160. Its totient is φ = 275220480.

The previous prime is 828563699. The next prime is 828563717. The reversal of 828563712 is 217365828.

It is not an unprimeable number, because it can be changed into a prime (828563717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237114 + ... + 240582.

Almost surely, 2828563712 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 828563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106458080).

828563712 is an abundant number, since it is smaller than the sum of its proper divisors (1384352448).

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

828563712 is a wasteful number, since it uses less digits than its factorization.

828563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3785 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 828563712 is about 28784.7826463915. The cubic root of 828563712 is about 939.2372384764.

It can be divided in two parts, 82856 and 3712, that added together give a palindrome (86568).

The spelling of 828563712 in words is "eight hundred twenty-eight million, five hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 311 384 622 768 933 1244 1866 2488 3469 3732 4976 6938 7464 9952 10407 13876 14928 19904 20814 27752 29856 39808 41628 55504 59712 79616 83256 111008 119424 166512 222016 238848 333024 444032 666048 888064 1078859 1332096 2157718 2664192 3236577 4315436 6473154 8630872 12946308 17261744 25892616 34523488 51785232 69046976 103570464 138093952 207140928 276187904 414281856 828563712