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144992 = 2523197
BaseRepresentation
bin100011011001100000
321100220002
4203121200
514114432
63035132
71142501
oct433140
9240802
10144992
1199a31
126baa8
1350cc3
143aba8
152ce62
hex23660

144992 has 24 divisors (see below), whose sum is σ = 299376. Its totient is φ = 68992.

The previous prime is 144983. The next prime is 145007. The reversal of 144992 is 299441.

It is a pancake number, because a pancake can be divided into 144992 parts by 538 straight cuts.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144992.

It is an unprimeable number.

144992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2144992 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 144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688).

144992 is an abundant number, since it is smaller than the sum of its proper divisors (154384).

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

144992 is a wasteful number, since it uses less digits than its factorization.

144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 144992 is about 380.7781506337. The cubic root of 144992 is about 52.5349125301.

Subtracting 144992 from its reverse (299441), we obtain a square (154449 = 3932).

The spelling of 144992 in words is "one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 197 368 394 736 788 1576 3152 4531 6304 9062 18124 36248 72496 144992