Search a number
-
+
249470172 = 223372174759
BaseRepresentation
bin11101101111010…
…01110011011100
3122101102101202000
432313221303130
51002331021142
640431002300
76116314200
oct1667516334
9571371660
10249470172
111189016a6
126b669390
133c8b84b3
14251bcb00
1516d7c14c
hexede9cdc

249470172 has 288 divisors, whose sum is σ = 827366400. Its totient is φ = 64544256.

The previous prime is 249470083. The next prime is 249470173. The reversal of 249470172 is 271074942.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249470173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4228279 + ... + 4228337.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2249470172 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 249470172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

249470172 is an abundant number, since it is smaller than the sum of its proper divisors (577896228).

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

249470172 is a wasteful number, since it uses less digits than its factorization.

249470172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 249470172 is about 15794.6247818680. The cubic root of 249470172 is about 629.5151825593.

The spelling of 249470172 in words is "two hundred forty-nine million, four hundred seventy thousand, one hundred seventy-two".