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253254500 = 22533116339
BaseRepresentation
bin11110001100001…
…01101101100100
3122122112122212022
433012011231210
51004313121000
641044042312
76163425212
oct1706055544
9578478768
10253254500
1111aa56944
1270993398
1340611b45
14258c5cb2
1517378585
hexf185b64

253254500 has 48 divisors (see below), whose sum is σ = 570984960. Its totient is φ = 98028000.

The previous prime is 253254481. The next prime is 253254509. The reversal of 253254500 is 5452352.

253254500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253254500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253254509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7331 + ... + 23669.

It is an arithmetic number, because the mean of its divisors is an integer number (11895520).

Almost surely, 2253254500 is an apocalyptic number.

253254500 is a gapful number since it is divisible by the number (20) 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 253254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285492480).

253254500 is an abundant number, since it is smaller than the sum of its proper divisors (317730460).

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

253254500 is a wasteful number, since it uses less digits than its factorization.

253254500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16389 (or 16377 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 253254500 is about 15913.9718486618. The cubic root of 253254500 is about 632.6823566641.

The spelling of 253254500 in words is "two hundred fifty-three million, two hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 775 1550 3100 3875 7750 15500 16339 32678 65356 81695 163390 326780 408475 506509 816950 1013018 1633900 2026036 2042375 2532545 4084750 5065090 8169500 10130180 12662725 25325450 50650900 63313625 126627250 253254500