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2087892 = 223259983
BaseRepresentation
bin111111101101111010100
310221002001100
413331233110
51013303032
6112430100
723514102
oct7755724
93832040
102087892
1111a6734
12848330
13581451
143c4c72
152b397c
hex1fdbd4

2087892 has 36 divisors (see below), whose sum is σ = 5372640. Its totient is φ = 683472.

The previous prime is 2087879. The next prime is 2087903. The reversal of 2087892 is 2987802.

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 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, 1633 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (149240).

22087892 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 2087892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686320).

2087892 is an abundant number, since it is smaller than the sum of its proper divisors (3284748).

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

2087892 is a wasteful number, since it uses less digits than its factorization.

2087892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2087892 is about 1444.9539785059. The cubic root of 2087892 is about 127.8113268484.

It can be divided in two parts, 208 and 7892, that added together give a square (8100 = 902).

The spelling of 2087892 in words is "two million, eighty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 983 1062 1966 2124 2949 3932 5898 8847 11796 17694 35388 57997 115994 173991 231988 347982 521973 695964 1043946 2087892