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480148017 = 31779119173
BaseRepresentation
bin11100100111100…
…111101000110001
31020110111001020220
4130213213220301
51440404214032
6115351123253
714620122306
oct3447475061
91213431226
10480148017
11227038348
12114973529
137862416b
1447aa90ad
152c24612c
hex1c9e7a31

480148017 has 16 divisors (see below), whose sum is σ = 686442240. Its totient is φ = 297453312.

The previous prime is 480147979. The next prime is 480148021. The reversal of 480148017 is 710841084.

It is not a de Polignac number, because 480148017 - 26 = 480147953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480148037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55558 + ... + 63615.

It is an arithmetic number, because the mean of its divisors is an integer number (42902640).

Almost surely, 2480148017 is an apocalyptic number.

It is an amenable number.

480148017 is a deficient number, since it is larger than the sum of its proper divisors (206294223).

480148017 is a wasteful number, since it uses less digits than its factorization.

480148017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119272.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 480148017 is about 21912.2800502367. The cubic root of 480148017 is about 783.0540014853.

The spelling of 480148017 in words is "four hundred eighty million, one hundred forty-eight thousand, seventeen".

Divisors: 1 3 17 51 79 237 1343 4029 119173 357519 2025941 6077823 9414667 28244001 160049339 480148017