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855400448 = 213722131
BaseRepresentation
bin110010111111000…
…110000000000000
32012121120211211002
4302333012000000
53222440303243
6220514111132
730124532600
oct6277060000
92177524732
10855400448
113a9940021
121ba57b4a8
131082ac416
148186ac00
155016beb8
hex32fc6000

855400448 has 84 divisors (see below), whose sum is σ = 1990927692. Its totient is φ = 366428160.

The previous prime is 855400439. The next prime is 855400487. The reversal of 855400448 is 844004558.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 400343 + ... + 402473.

Almost surely, 2855400448 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 855400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995463846).

855400448 is an abundant number, since it is smaller than the sum of its proper divisors (1135527244).

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

855400448 is an equidigital number, since it uses as much as digits as its factorization.

855400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 855400448 is about 29247.2297491574. The cubic root of 855400448 is about 949.2701496755.

The spelling of 855400448 in words is "eight hundred fifty-five million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2131 3136 3584 4096 4262 6272 7168 8192 8524 12544 14336 14917 17048 25088 28672 29834 34096 50176 57344 59668 68192 100352 104419 119336 136384 200704 208838 238672 272768 401408 417676 477344 545536 835352 954688 1091072 1670704 1909376 2182144 3341408 3818752 4364288 6682816 7637504 8728576 13365632 15275008 17457152 26731264 30550016 53462528 61100032 106925056 122200064 213850112 427700224 855400448