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254525472 = 25322333793
BaseRepresentation
bin11110010101111…
…00000000100000
3122201221020022100
433022330000200
51010124303342
641131210400
76210300525
oct1712740040
9581836270
10254525472
11120744833
12712a6a00
13409684b6
1425b3714c
1517529e4c
hexf2bc020

254525472 has 72 divisors (see below), whose sum is σ = 727104924. Its totient is φ = 84455424.

The previous prime is 254525459. The next prime is 254525483. The reversal of 254525472 is 274525452.

It can be written as a sum of positive squares in 2 ways, for example, as 227527056 + 26998416 = 15084^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65208 + ... + 69000.

Almost surely, 2254525472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363552462).

254525472 is an abundant number, since it is smaller than the sum of its proper divisors (472579452).

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

254525472 is a wasteful number, since it uses less digits than its factorization.

254525472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4031 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 254525472 is about 15953.8544558987. The cubic root of 254525472 is about 633.7389751009.

The spelling of 254525472 in words is "two hundred fifty-four million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 3793 4194 5592 7456 7586 8388 11184 11379 15172 16776 22368 22758 30344 33552 34137 45516 60688 67104 68274 91032 121376 136548 182064 273096 364128 546192 883769 1092384 1767538 2651307 3535076 5302614 7070152 7953921 10605228 14140304 15907842 21210456 28280608 31815684 42420912 63631368 84841824 127262736 254525472