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419589396 = 22341093
BaseRepresentation
bin11001000000100…
…110110100010100
31002020112100110000
4121000212310110
51324403330041
6105345131300
713253310462
oct3100466424
91066470400
10419589396
111a59357a6
12b8629b30
1368c0cb65
143da23832
1526c82bb6
hex19026d14

419589396 has 60 divisors (see below), whose sum is σ = 1107045940. Its totient is φ = 138579984.

The previous prime is 419589389. The next prime is 419589403. The reversal of 419589396 is 693985914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

419589396 is a `hidden beast` number, since 419 + 58 + 93 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (419589389) and next prime (419589403).

It can be written as a sum of positive squares in 2 ways, for example, as 172659600 + 246929796 = 13140^2 + 15714^2 .

It is a super-2 number, since 2×4195893962 = 352110522471289632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3849390 + ... + 3849498.

Almost surely, 2419589396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419589396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553522970).

419589396 is an abundant number, since it is smaller than the sum of its proper divisors (687456544).

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

419589396 is an frugal number, since it uses more digits than its factorization.

419589396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 114 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 419589396 is about 20483.8813704825. The cubic root of 419589396 is about 748.6431146299.

The spelling of 419589396 in words is "four hundred nineteen million, five hundred eighty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 11881 17658 23762 35316 35643 47524 71286 106929 142572 213858 320787 427716 641574 962361 1283148 1295029 1924722 2590058 3849444 3885087 5180116 7770174 11655261 15540348 23310522 34965783 46621044 69931566 104897349 139863132 209794698 419589396