Search a number
-
+
471401280 = 26325767349
BaseRepresentation
bin11100000110010…
…000001101000000
31012212000122222200
4130012100031000
51431134320110
6114435433200
714452562520
oct3406201500
91185018880
10471401280
11222103839
12111a55800
1376880b8c
144686d680
152b5b96c0
hex1c190340

471401280 has 336 divisors, whose sum is σ = 1886102400. Its totient is φ = 105836544.

The previous prime is 471401257. The next prime is 471401297. The reversal of 471401280 is 82104174.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1350546 + ... + 1350894.

It is an arithmetic number, because the mean of its divisors is an integer number (5613400).

Almost surely, 2471401280 is an apocalyptic number.

471401280 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 471401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943051200).

471401280 is an abundant number, since it is smaller than the sum of its proper divisors (1414701120).

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

471401280 is a wasteful number, since it uses less digits than its factorization.

471401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 471401280 is about 21711.7774491173. Note that the first 3 decimals coincide. The cubic root of 471401280 is about 778.2699327459.

The spelling of 471401280 in words is "four hundred seventy-one million, four hundred one thousand, two hundred eighty".