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253992450 = 23522383887
BaseRepresentation
bin11110010001110…
…01111000000010
3122200221011010210
433020321320002
51010010224300
641111534550
76202620525
oct1710717002
9580834123
10253992450
11120410318
127108a456
134080c9ba
1425a38bbc
1517472050
hexf239e02

253992450 has 96 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 63933760.

The previous prime is 253992449. The next prime is 253992451. The reversal of 253992450 is 54299352.

253992450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253992449) and next prime (253992451).

It is a junction number, because it is equal to n+sod(n) for n = 253992399 and 253992408.

It is not an unprimeable number, because it can be changed into a prime (253992451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285907 + ... + 286793.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2253992450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253992450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

253992450 is an abundant number, since it is smaller than the sum of its proper divisors (411964926).

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

253992450 is a wasteful number, since it uses less digits than its factorization.

253992450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 253992450 is about 15937.1405841826. The cubic root of 253992450 is about 633.2962782260.

The spelling of 253992450 in words is "two hundred fifty-three million, nine hundred ninety-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 83 115 138 150 166 230 249 345 415 498 575 690 830 887 1150 1245 1725 1774 1909 2075 2490 2661 3450 3818 4150 4435 5322 5727 6225 8870 9545 11454 12450 13305 19090 20401 22175 26610 28635 40802 44350 47725 57270 61203 66525 73621 95450 102005 122406 133050 143175 147242 204010 220863 286350 306015 368105 441726 510025 612030 736210 1020050 1104315 1530075 1693283 1840525 2208630 3060150 3386566 3681050 5079849 5521575 8466415 10159698 11043150 16932830 25399245 42332075 50798490 84664150 126996225 253992450