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52873000 = 2353371429
BaseRepresentation
bin1100100110110…
…0011100101000
310200111020010021
43021230130220
5102013414000
65125130224
71211261455
oct311543450
9120436107
1052873000
11279332a4
1215859974
13ac52ccb
14704482c
15499611a
hex326c728

52873000 has 64 divisors (see below), whose sum is σ = 127155600. Its totient is φ = 20563200.

The previous prime is 52872997. The next prime is 52873033. The reversal of 52873000 is 37825.

It can be written as a sum of positive squares in 8 ways, for example, as 1119364 + 51753636 = 1058^2 + 7194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 36286 + ... + 37714.

Almost surely, 252873000 is an apocalyptic number.

52873000 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 52873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63577800).

52873000 is an abundant number, since it is smaller than the sum of its proper divisors (74282600).

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

52873000 is a wasteful number, since it uses less digits than its factorization.

52873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 52873000 is about 7271.3822619912. The cubic root of 52873000 is about 375.3283050841.

The spelling of 52873000 in words is "fifty-two million, eight hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1429 1480 1850 2858 3700 4625 5716 7145 7400 9250 11432 14290 18500 28580 35725 37000 52873 57160 71450 105746 142900 178625 211492 264365 285800 357250 422984 528730 714500 1057460 1321825 1429000 2114920 2643650 5287300 6609125 10574600 13218250 26436500 52873000