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3148992 = 263271171
BaseRepresentation
bin1100000000110011000000
312220222121100
430000303000
51301231432
6151254400
735523510
oct14006300
95828540
103148992
111860980
12107a400
13863412
145bd840
1542307c
hex300cc0

3148992 has 168 divisors, whose sum is σ = 11411712. Its totient is φ = 806400.

The previous prime is 3148991. The next prime is 3148993. The reversal of 3148992 is 2998413.

It is an interprime number because it is at equal distance from previous prime (3148991) and next prime (3148993).

It is a tau number, because it is divible by the number of its divisors (168).

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 zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3148991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44317 + ... + 44387.

Almost surely, 23148992 is an apocalyptic number.

3148992 is a gapful number since it is divisible by the number (32) 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 3148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

3148992 is an abundant number, since it is smaller than the sum of its proper divisors (8262720).

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

3148992 is a wasteful number, since it uses less digits than its factorization.

3148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3148992 is about 1774.5399403789. The cubic root of 3148992 is about 146.5740829828.

The spelling of 3148992 in words is "three million, one hundred forty-eight thousand, nine hundred ninety-two".