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419396440 = 235101103811
BaseRepresentation
bin11000111111110…
…111101101011000
31002020011112202111
4120333313231120
51324331141230
6105341042104
713251545101
oct3077675530
91066145674
10419396440
111a5813831
12b8556334
1368b73098
143d9b33a8
1526c4592a
hex18ff7b58

419396440 has 32 divisors (see below), whose sum is σ = 952994160. Its totient is φ = 166096000.

The previous prime is 419396437. The next prime is 419396479. The reversal of 419396440 is 44693914.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 419396393 and 419396402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47866 + ... + 55945.

Almost surely, 2419396440 is an apocalyptic number.

419396440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419396440 is an abundant number, since it is smaller than the sum of its proper divisors (533597720).

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

419396440 is a wasteful number, since it uses less digits than its factorization.

419396440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103923 (or 103919 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 419396440 is about 20479.1708816544. The cubic root of 419396440 is about 748.5283378733.

The spelling of 419396440 in words is "four hundred nineteen million, three hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 103811 207622 415244 519055 830488 1038110 2076220 4152440 10484911 20969822 41939644 52424555 83879288 104849110 209698220 419396440