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416029964 = 22714858213
BaseRepresentation
bin11000110011000…
…001110100001100
31001222211111211012
4120303001310030
51323000424324
6105140544352
713211124230
oct3063016414
91058744735
10416029964
111a3924519
12b73b20b8
136826499c
143d3785c0
15267cd20e
hex18cc1d0c

416029964 has 12 divisors (see below), whose sum is σ = 832059984. Its totient is φ = 178298544.

The previous prime is 416029963. The next prime is 416029973. The reversal of 416029964 is 469920614.

416029964 is an admirable number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (416029963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7429079 + ... + 7429134.

It is an arithmetic number, because the mean of its divisors is an integer number (69338332).

Almost surely, 2416029964 is an apocalyptic number.

It is an amenable number.

416029964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

416029964 is a wasteful number, since it uses less digits than its factorization.

416029964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14858224 (or 14858222 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 416029964 is about 20396.8125941285. The cubic root of 416029964 is about 746.5201541646.

The spelling of 416029964 in words is "four hundred sixteen million, twenty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 14858213 29716426 59432852 104007491 208014982 416029964