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480725946 = 232117122807
BaseRepresentation
bin11100101001110…
…100101110111010
31020111120102000200
4130221310232322
51441031212241
6115411343030
714625050241
oct3451645672
91214512020
10480725946
112273a2578
12114bb1a76
137879722c
1447bb9958
152c30c4b6
hex1ca74bba

480725946 has 24 divisors (see below), whose sum is σ = 1042508064. Its totient is φ = 160098120.

The previous prime is 480725929. The next prime is 480725969. The reversal of 480725946 is 649527084.

It is a happy number.

It is a super-3 number, since 3×4807259463 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9675 + ... + 32481.

It is an arithmetic number, because the mean of its divisors is an integer number (43437836).

Almost surely, 2480725946 is an apocalyptic number.

480725946 is an abundant number, since it is smaller than the sum of its proper divisors (561782118).

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

480725946 is a wasteful number, since it uses less digits than its factorization.

480725946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23986 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 480725946 is about 21925.4634158551. The cubic root of 480725946 is about 783.3680492033.

It can be divided in two parts, 480725 and 946, that added together give a triangular number (481671 = T981).

The spelling of 480725946 in words is "four hundred eighty million, seven hundred twenty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 1171 2342 3513 7026 10539 21078 22807 45614 68421 136842 205263 410526 26706997 53413994 80120991 160241982 240362973 480725946