Search a number
-
+
471381408 = 25321636741
BaseRepresentation
bin11100000110001…
…011010110100000
31012211222122201200
4130012023112200
51431133201113
6114435201200
714452450551
oct3406132640
91184878650
10471381408
1122209a913
12111a46200
1376874b14
1446866328
152b5b3873
hex1c18b5a0

471381408 has 36 divisors (see below), whose sum is σ = 1340491698. Its totient is φ = 157127040.

The previous prime is 471381401. The next prime is 471381467. The reversal of 471381408 is 804183174.

It can be written as a sum of positive squares in only one way, i.e., 246741264 + 224640144 = 15708^2 + 14988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (471381401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 818083 + ... + 818658.

Almost surely, 2471381408 is an apocalyptic number.

471381408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

471381408 is an abundant number, since it is smaller than the sum of its proper divisors (869110290).

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

471381408 is a wasteful number, since it uses less digits than its factorization.

471381408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636757 (or 1636746 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 471381408 is about 21711.3198124849. The cubic root of 471381408 is about 778.2589965590.

The spelling of 471381408 in words is "four hundred seventy-one million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1636741 3273482 4910223 6546964 9820446 13093928 14730669 19640892 26187856 29461338 39281784 52375712 58922676 78563568 117845352 157127136 235690704 471381408