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254125472 = 2537713023
BaseRepresentation
bin11110010010110…
…10010110100000
3122201011220121112
433021122112200
51010024003342
641114442452
76204013406
oct1711322640
9581156545
10254125472
111204a1257
1271133428
1340858403
1425a71476
151749b682
hexf25a5a0

254125472 has 48 divisors (see below), whose sum is σ = 521240832. Its totient is φ = 121847040.

The previous prime is 254125471. The next prime is 254125489. The reversal of 254125472 is 274521452.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is not an unprimeable number, because it can be changed into a prime (254125471) 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 7 ways as a sum of consecutive naturals, for example, 82553 + ... + 85575.

It is an arithmetic number, because the mean of its divisors is an integer number (10859184).

Almost surely, 2254125472 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 254125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

254125472 is an abundant number, since it is smaller than the sum of its proper divisors (267115360).

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

254125472 is a wasteful number, since it uses less digits than its factorization.

254125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3133 counting only the distinct ones).

The product of its digits is 22400, while the sum is 32.

The square root of 254125472 is about 15941.3133712376. The cubic root of 254125472 is about 633.4068164660.

The spelling of 254125472 in words is "two hundred fifty-four million, one hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 71 74 142 148 284 296 568 592 1136 1184 2272 2627 3023 5254 6046 10508 12092 21016 24184 42032 48368 84064 96736 111851 214633 223702 429266 447404 858532 894808 1717064 1789616 3434128 3579232 6868256 7941421 15882842 31765684 63531368 127062736 254125472