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2077248 = 26331349
BaseRepresentation
bin111111011001001000000
310220112110010
413323021000
51012432443
6112304520
723441055
oct7731100
93815403
102077248
111199738
12842140
13579654
143c102c
152b0733
hex1fb240

2077248 has 56 divisors (see below), whose sum is σ = 5689600. Its totient is φ = 668160.

The previous prime is 2077189. The next prime is 2077249. The reversal of 2077248 is 8427702.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077249) 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, 5778 + ... + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (101600).

22077248 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 2077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844800).

2077248 is an abundant number, since it is smaller than the sum of its proper divisors (3612352).

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

2077248 is a wasteful number, since it uses less digits than its factorization.

2077248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2077248 is about 1441.2661100574. The cubic root of 2077248 is about 127.5937641695.

The spelling of 2077248 in words is "two million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 349 372 496 698 744 992 1047 1396 1488 1984 2094 2792 2976 4188 5584 5952 8376 10819 11168 16752 21638 22336 32457 33504 43276 64914 67008 86552 129828 173104 259656 346208 519312 692416 1038624 2077248