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53048000 = 265319349
BaseRepresentation
bin1100101001011…
…1001011000000
310200211010011202
43022113023000
5102040014000
65133000332
71212620615
oct312271300
9120733152
1053048000
1127a42825
12159230a8
13acb4865
14708c50c
1549ccdd5
hex32972c0

53048000 has 112 divisors (see below), whose sum is σ = 138684000. Its totient is φ = 20044800.

The previous prime is 53047999. The next prime is 53048029. The reversal of 53048000 is 84035.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151826 + ... + 152174.

It is an arithmetic number, because the mean of its divisors is an integer number (1238250).

Almost surely, 253048000 is an apocalyptic number.

53048000 is a gapful number since it is divisible by the number (50) 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 53048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342000).

53048000 is an abundant number, since it is smaller than the sum of its proper divisors (85636000).

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

53048000 is a wasteful number, since it uses less digits than its factorization.

53048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 53048000 is about 7283.4057967410. The cubic root of 53048000 is about 375.7419385120.

The spelling of 53048000 in words is "fifty-three million, forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 349 380 400 475 500 608 698 760 800 950 1000 1216 1396 1520 1600 1745 1900 2000 2375 2792 3040 3490 3800 4000 4750 5584 6080 6631 6980 7600 8000 8725 9500 11168 13262 13960 15200 17450 19000 22336 26524 27920 30400 33155 34900 38000 43625 53048 55840 66310 69800 76000 87250 106096 111680 132620 139600 152000 165775 174500 212192 265240 279200 331550 349000 424384 530480 558400 663100 698000 828875 1060960 1326200 1396000 1657750 2121920 2652400 2792000 3315500 5304800 6631000 10609600 13262000 26524000 53048000