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407981916 = 223253213827
BaseRepresentation
bin11000010100010…
…100111101011100
31001102200121222100
4120110110331130
51313420410131
6104252245100
713052534436
oct3024247534
91042617870
10407981916
1119a327941
12b4770790
13666a7724
143c281656
1525c3d7e6
hex18514f5c

407981916 has 36 divisors (see below), whose sum is σ = 1050750792. Its totient is φ = 133427424.

The previous prime is 407981887. The next prime is 407981971. The reversal of 407981916 is 619189704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105006 + ... + 108821.

It is an arithmetic number, because the mean of its divisors is an integer number (29187522).

Almost surely, 2407981916 is an apocalyptic number.

It is an amenable number.

407981916 is an abundant number, since it is smaller than the sum of its proper divisors (642768876).

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

407981916 is a wasteful number, since it uses less digits than its factorization.

407981916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213890 (or 213885 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 407981916 is about 20198.5622260596. The cubic root of 407981916 is about 741.6749956449.

The spelling of 407981916 in words is "four hundred seven million, nine hundred eighty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 213827 427654 641481 855308 1282962 1924443 2565924 3848886 7697772 11332831 22665662 33998493 45331324 67996986 101995479 135993972 203990958 407981916