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470047440 = 24351958531
BaseRepresentation
bin11100000001000…
…101101011010000
31012202110212212110
4130001011223100
51430313004230
6114350425320
714435223462
oct3401055320
91182425773
10470047440
11221369665
12111502240
13764c88a5
14465da132
152b3ed4b0
hex1c045ad0

470047440 has 40 divisors (see below), whose sum is σ = 1457147808. Its totient is φ = 125345920.

The previous prime is 470047427. The next prime is 470047453. The reversal of 470047440 is 44740074.

470047440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (470047427) and next prime (470047453).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 470047398 and 470047407.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 979026 + ... + 979505.

Almost surely, 2470047440 is an apocalyptic number.

470047440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470047440 is an abundant number, since it is smaller than the sum of its proper divisors (987100368).

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

470047440 is a wasteful number, since it uses less digits than its factorization.

470047440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958547 (or 1958541 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 470047440 is about 21680.5774830838. The cubic root of 470047440 is about 777.5241680780.

The spelling of 470047440 in words is "four hundred seventy million, forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1958531 3917062 5875593 7834124 9792655 11751186 15668248 19585310 23502372 29377965 31336496 39170620 47004744 58755930 78341240 94009488 117511860 156682480 235023720 470047440