Search a number
-
+
474229080 = 2338513139
BaseRepresentation
bin11100010001000…
…010100101011000
31020001100100000000
4130101002211120
51432400312310
6115020213000
714515611033
oct3421024530
91201310000
10474229080
11223765366
1211299a160
1377331030
1446da801a
152b9774c0
hex1c442958

474229080 has 288 divisors, whose sum is σ = 1735952400. Its totient is φ = 115893504.

The previous prime is 474229073. The next prime is 474229087. The reversal of 474229080 is 80922474.

474229080 is a `hidden beast` number, since 474 + 22 + 90 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (474229073) and next prime (474229087).

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 (474229087) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3411651 + ... + 3411789.

Almost surely, 2474229080 is an apocalyptic number.

474229080 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 474229080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867976200).

474229080 is an abundant number, since it is smaller than the sum of its proper divisors (1261723320).

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

474229080 is a wasteful number, since it uses less digits than its factorization.

474229080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 474229080 is about 21776.8014180228. The cubic root of 474229080 is about 779.8230367774.

The spelling of 474229080 in words is "four hundred seventy-four million, two hundred twenty-nine thousand, eighty".