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474013144 = 231121573119
BaseRepresentation
bin11100010000001…
…101110111011000
31020000221100210101
4130100031313120
51432321410034
6115011425144
714514021343
oct3420156730
91200840711
10474013144
11223628100
121128b51b4
1377286967
1446d4d45a
152b933514
hex1c40ddd8

474013144 has 48 divisors (see below), whose sum is σ = 983455200. Its totient is φ = 214019520.

The previous prime is 474013129. The next prime is 474013181. The reversal of 474013144 is 441310474.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150417 + ... + 153535.

It is an arithmetic number, because the mean of its divisors is an integer number (20488650).

Almost surely, 2474013144 is an apocalyptic number.

474013144 is a gapful number since it is divisible by the number (44) 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 474013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491727600).

474013144 is an abundant number, since it is smaller than the sum of its proper divisors (509442056).

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

474013144 is a wasteful number, since it uses less digits than its factorization.

474013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 474013144 is about 21771.8429169421. The cubic root of 474013144 is about 779.7046569764.

The spelling of 474013144 in words is "four hundred seventy-four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1727 3119 3454 6238 6908 12476 13816 18997 24952 34309 37994 68618 75988 137236 151976 274472 377399 489683 754798 979366 1509596 1958732 3019192 3917464 5386513 10773026 21546052 43092104 59251643 118503286 237006572 474013144