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470302480 = 2456787743
BaseRepresentation
bin11100000010000…
…011111100010000
31012202221211201101
4130002003330100
51430344134410
6114400114144
714440335154
oct3402037420
91182854641
10470302480
1122152323a
12111605954
13765879bb
1446665064
152b44dd3a
hex1c083f10

470302480 has 40 divisors (see below), whose sum is σ = 1109786112. Its totient is φ = 185311104.

The previous prime is 470302451. The next prime is 470302529. The reversal of 470302480 is 84203074.

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

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, 38512 + ... + 49231.

Almost surely, 2470302480 is an apocalyptic number.

470302480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470302480 is an abundant number, since it is smaller than the sum of its proper divisors (639483632).

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

470302480 is a wasteful number, since it uses less digits than its factorization.

470302480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87823 (or 87817 counting only the distinct ones).

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

The square root of 470302480 is about 21686.4584476120. The cubic root of 470302480 is about 777.6647665886.

The spelling of 470302480 in words is "four hundred seventy million, three hundred two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 87743 175486 350972 438715 701944 877430 1403888 1754860 3509720 5878781 7019440 11757562 23515124 29393905 47030248 58787810 94060496 117575620 235151240 470302480