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2072448 = 27327257
BaseRepresentation
bin111111001111110000000
310220021212100
413321332000
51012304243
6112230400
723421060
oct7717600
93807770
102072448
111196074
1283b400
13577401
143bd3a0
152ae0d3
hex1f9f80

2072448 has 96 divisors (see below), whose sum is σ = 6842160. Its totient is φ = 589824.

The previous prime is 2072437. The next prime is 2072467. The reversal of 2072448 is 8442702.

2072448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7936 + ... + 8192.

22072448 is an apocalyptic number.

2072448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421080).

2072448 is an abundant number, since it is smaller than the sum of its proper divisors (4769712).

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

2072448 is a wasteful number, since it uses less digits than its factorization.

2072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2072448 is about 1439.5999444290. The cubic root of 2072448 is about 127.4954092926.

The spelling of 2072448 in words is "two million, seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 257 288 336 384 448 504 514 576 672 771 896 1008 1028 1152 1344 1542 1799 2016 2056 2313 2688 3084 3598 4032 4112 4626 5397 6168 7196 8064 8224 9252 10794 12336 14392 16191 16448 18504 21588 24672 28784 32382 32896 37008 43176 49344 57568 64764 74016 86352 98688 115136 129528 148032 172704 230272 259056 296064 345408 518112 690816 1036224 2072448