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2076448 = 251117347
BaseRepresentation
bin111111010111100100000
310220111100111
413322330200
51012421243
6112301104
723435533
oct7727440
93814314
102076448
111199080
12841794
1357918a
143c0a1a
152b039d
hex1faf20

2076448 has 48 divisors (see below), whose sum is σ = 4735584. Its totient is φ = 885760.

The previous prime is 2076443. The next prime is 2076449. The reversal of 2076448 is 8446702.

It is not an unprimeable number, because it can be changed into a prime (2076443) 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, 5811 + ... + 6157.

It is an arithmetic number, because the mean of its divisors is an integer number (98658).

22076448 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 2076448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367792).

2076448 is an abundant number, since it is smaller than the sum of its proper divisors (2659136).

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

2076448 is a wasteful number, since it uses less digits than its factorization.

2076448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2076448 is about 1440.9885495728. The cubic root of 2076448 is about 127.5773822196.

The spelling of 2076448 in words is "two million, seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 347 352 374 544 694 748 1388 1496 2776 2992 3817 5552 5899 5984 7634 11104 11798 15268 23596 30536 47192 61072 64889 94384 122144 129778 188768 259556 519112 1038224 2076448