Search a number
-
+
474147000 = 233353171033
BaseRepresentation
bin11100010000101…
…110100010111000
31020001012011102000
4130100232202320
51432340201000
6115014341000
714515116525
oct3420564270
91201164360
10474147000
11223709728
1211295a760
1377302872
1446d8614c
152b95d000
hex1c42e8b8

474147000 has 256 divisors, whose sum is σ = 1742083200. Its totient is φ = 118886400.

The previous prime is 474146993. The next prime is 474147029. The reversal of 474147000 is 741474.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 458484 + ... + 459516.

Almost surely, 2474147000 is an apocalyptic number.

474147000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871041600).

474147000 is an abundant number, since it is smaller than the sum of its proper divisors (1267936200).

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

474147000 is a wasteful number, since it uses less digits than its factorization.

474147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 474147000 is about 21774.9167621830. The cubic root of 474147000 is about 779.7780433549.

Adding to 474147000 its reverse (741474), we get a palindrome (474888474).

The spelling of 474147000 in words is "four hundred seventy-four million, one hundred forty-seven thousand".