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12489192 = 2332891949
BaseRepresentation
bin101111101001…
…000111101000
3212111111221200
4233221013220
511144123232
61123404200
7211104432
oct57510750
925444850
1012489192
117060351
124223660
132783871
141931652
15116a77c
hexbe91e8

12489192 has 48 divisors (see below), whose sum is σ = 34222500. Its totient is φ = 4114176.

The previous prime is 12489167. The next prime is 12489229. The reversal of 12489192 is 29198421.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 36 = 3534^2 + 6^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5434 + ... + 7382.

Almost surely, 212489192 is an apocalyptic number.

12489192 is a gapful number since it is divisible by the number (12) 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 12489192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111250).

12489192 is an abundant number, since it is smaller than the sum of its proper divisors (21733308).

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

12489192 is a wasteful number, since it uses less digits than its factorization.

12489192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2043 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12489192 is about 3534.0050933749. The cubic root of 12489192 is about 232.0125340038.

Subtracting from 12489192 its sum of digits (36), we obtain a square (12489156 = 35342).

It can be divided in two parts, 1248 and 9192, that added together give a triangular number (10440 = T144).

The spelling of 12489192 in words is "twelve million, four hundred eighty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 1949 2136 3204 3898 5847 6408 7796 11694 15592 17541 23388 35082 46776 70164 140328 173461 346922 520383 693844 1040766 1387688 1561149 2081532 3122298 4163064 6244596 12489192