Search a number
-
+
53042000 = 2453112411
BaseRepresentation
bin1100101001010…
…1101101010000
310200210210221112
43022111231100
5102034321000
65132512452
71212564254
oct312255520
9120723845
1053042000
1127a39270
121591b728
13acb1bcb
14708a264
1549cb235
hex3295b50

53042000 has 80 divisors (see below), whose sum is σ = 139973184. Its totient is φ = 19280000.

The previous prime is 53041999. The next prime is 53042021. The reversal of 53042000 is 24035.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20795 + ... + 23205.

Almost surely, 253042000 is an apocalyptic number.

53042000 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 53042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69986592).

53042000 is an abundant number, since it is smaller than the sum of its proper divisors (86931184).

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

53042000 is a wasteful number, since it uses less digits than its factorization.

53042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 53042000 is about 7282.9938898780. The cubic root of 53042000 is about 375.7277718664.

Adding to 53042000 its reverse (24035), we get a palindrome (53066035).

It can be divided in two parts, 5 and 3042000, that multiplied together give a square (15210000 = 39002).

The spelling of 53042000 in words is "fifty-three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2411 2750 4400 4822 5500 9644 11000 12055 19288 22000 24110 26521 38576 48220 53042 60275 96440 106084 120550 132605 192880 212168 241100 265210 301375 424336 482200 530420 602750 663025 964400 1060840 1205500 1326050 2121680 2411000 2652100 3315125 4822000 5304200 6630250 10608400 13260500 26521000 53042000