Search a number
-
+
898431072 = 253721197179
BaseRepresentation
bin110101100011001…
…111100001100000
32022121120000201220
4311203033201200
53314444243242
6225052255040
731156352400
oct6543174140
92277500656
10898431072
11421160620
12210a71480
13114197526
148746c800
1553d1bbec
hex358cf860

898431072 has 288 divisors, whose sum is σ = 3040571520. Its totient is φ = 229662720.

The previous prime is 898431043. The next prime is 898431091. The reversal of 898431072 is 270134898.

It is a super-2 number, since 2×8984310722 = 1614356782270138368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5019079 + ... + 5019257.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2898431072 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 898431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

898431072 is an abundant number, since it is smaller than the sum of its proper divisors (2142140448).

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

898431072 is a wasteful number, since it uses less digits than its factorization.

898431072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 898431072 is about 29973.8397940604. The cubic root of 898431072 is about 964.9280274206.

The spelling of 898431072 in words is "eight hundred ninety-eight million, four hundred thirty-one thousand, seventy-two".