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416113480 = 23510402837
BaseRepresentation
bin11000110011010…
…110001101001000
31001222222202101101
4120303112031020
51323011112410
6105142431144
713211622556
oct3063261510
91058882341
10416113480
111a3981242
12b74324b4
13682939c3
143d39abd6
15267e7d3a
hex18cd6348

416113480 has 16 divisors (see below), whose sum is σ = 936255420. Its totient is φ = 166445376.

The previous prime is 416113429. The next prime is 416113499. The reversal of 416113480 is 84311614.

It can be written as a sum of positive squares in 2 ways, for example, as 412008804 + 4104676 = 20298^2 + 2026^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5201379 + ... + 5201458.

Almost surely, 2416113480 is an apocalyptic number.

416113480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416113480 is an abundant number, since it is smaller than the sum of its proper divisors (520141940).

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

416113480 is a wasteful number, since it uses less digits than its factorization.

416113480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402848 (or 10402844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 416113480 is about 20398.8597720559. The cubic root of 416113480 is about 746.5701042573.

The spelling of 416113480 in words is "four hundred sixteen million, one hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 10402837 20805674 41611348 52014185 83222696 104028370 208056740 416113480