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2088864 = 25327253
BaseRepresentation
bin111111101111110100000
310221010101100
413331332200
51013320424
6112434400
723516661
oct7757640
93833340
102088864
1111a7438
12848a00
13581a1b
143c5368
152b3dc9
hex1fdfa0

2088864 has 36 divisors (see below), whose sum is σ = 5941026. Its totient is φ = 696192.

The previous prime is 2088847. The next prime is 2088869. The reversal of 2088864 is 4688802.

2088864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 501264 = 1260^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2088869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3339 + ... + 3914.

22088864 is an apocalyptic number.

2088864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2088864 is an abundant number, since it is smaller than the sum of its proper divisors (3852162).

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

2088864 is a wasteful number, since it uses less digits than its factorization.

2088864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2088864 is about 1445.2902822617. The cubic root of 2088864 is about 127.8311575894.

The spelling of 2088864 in words is "two million, eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7253 14506 21759 29012 43518 58024 65277 87036 116048 130554 174072 232096 261108 348144 522216 696288 1044432 2088864