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253016500 = 225311179257
BaseRepresentation
bin11110001010010…
…11100110110100
3122122002120101111
433011023212310
51004233012000
641035004404
76161414302
oct1705134664
9578076344
10253016500
1111a904050
1270899704
134055a709
1425863272
151732ccba
hexf14b9b4

253016500 has 96 divisors (see below), whose sum is σ = 608549760. Its totient is φ = 91136000.

The previous prime is 253016473. The next prime is 253016507. The reversal of 253016500 is 5610352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253016507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984372 + ... + 984628.

It is an arithmetic number, because the mean of its divisors is an integer number (6339060).

Almost surely, 2253016500 is an apocalyptic number.

253016500 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 253016500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304274880).

253016500 is an abundant number, since it is smaller than the sum of its proper divisors (355533260).

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

253016500 is a wasteful number, since it uses less digits than its factorization.

253016500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 253016500 is about 15906.4923851866. The cubic root of 253016500 is about 632.4841033984.

Adding to 253016500 its reverse (5610352), we get a palindrome (258626852).

The spelling of 253016500 in words is "two hundred fifty-three million, sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 179 220 250 257 275 358 500 514 550 716 895 1028 1100 1285 1375 1790 1969 2570 2750 2827 3580 3938 4475 5140 5500 5654 6425 7876 8950 9845 11308 12850 14135 17900 19690 22375 25700 28270 32125 39380 44750 46003 49225 56540 64250 70675 89500 92006 98450 128500 141350 184012 196900 230015 246125 282700 353375 460030 492250 506033 706750 920060 984500 1012066 1150075 1413500 2024132 2300150 2530165 4600300 5060330 5750375 10120660 11500750 12650825 23001500 25301650 50603300 63254125 126508250 253016500