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1896928 = 251117317
BaseRepresentation
bin111001111000111100000
310120101002121
413033013200
5441200203
6104354024
722060255
oct7170740
93511077
101896928
111086210
12775914
13515557
1437542c
152770bd
hex1cf1e0

1896928 has 48 divisors (see below), whose sum is σ = 4327344. Its totient is φ = 808960.

The previous prime is 1896901. The next prime is 1896959. The reversal of 1896928 is 8296981.

It is a happy number.

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 5826 + ... + 6142.

It is an arithmetic number, because the mean of its divisors is an integer number (90153).

21896928 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 1896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163672).

1896928 is an abundant number, since it is smaller than the sum of its proper divisors (2430416).

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

1896928 is a wasteful number, since it uses less digits than its factorization.

1896928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 62208, while the sum is 43.

The square root of 1896928 is about 1377.2900928998. The cubic root of 1896928 is about 123.7894449640.

It can be divided in two parts, 189 and 6928, that added together give a palindrome (7117).

The spelling of 1896928 in words is "one million, eight hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 317 352 374 544 634 748 1268 1496 2536 2992 3487 5072 5389 5984 6974 10144 10778 13948 21556 27896 43112 55792 59279 86224 111584 118558 172448 237116 474232 948464 1896928