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885345408 = 27322926501
BaseRepresentation
bin110100110001010…
…100110010000000
32021200221012120200
4310301110302000
53303122023113
6223504005200
730640211643
oct6461246200
92250835520
10885345408
11414833122
12208600800
1311156532c
1485823a5a
1552ad4873
hex34c54c80

885345408 has 96 divisors (see below), whose sum is σ = 2635623900. Its totient is φ = 284928000.

The previous prime is 885345403. The next prime is 885345449. The reversal of 885345408 is 804543588.

It can be written as a sum of positive squares in 2 ways, for example, as 881377344 + 3968064 = 29688^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (885345401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20158 + ... + 46658.

Almost surely, 2885345408 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 885345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317811950).

885345408 is an abundant number, since it is smaller than the sum of its proper divisors (1750278492).

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

885345408 is a wasteful number, since it uses less digits than its factorization.

885345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26550 (or 26535 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 885345408 is about 29754.7543764018. The cubic root of 885345408 is about 960.2203660782.

The spelling of 885345408 in words is "eight hundred eighty-five million, three hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 26501 33408 53002 79503 106004 159006 212008 238509 318012 424016 477018 636024 768529 848032 954036 1272048 1537058 1696064 1908072 2305587 2544096 3074116 3392128 3816144 4611174 5088192 6148232 6916761 7632288 9222348 10176384 12296464 13833522 15264576 18444696 24592928 27667044 30529152 36889392 49185856 55334088 73778784 98371712 110668176 147557568 221336352 295115136 442672704 885345408