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419131812 = 2231129310837
BaseRepresentation
bin11000111110110…
…111000110100100
31002012200002202110
4120332313012210
51324244204222
6105331241020
713246363431
oct3076670644
91065602673
10419131812
111a5652a30
12b8449170
1368aac7b8
143d944b88
1526be230c
hex18fb71a4

419131812 has 48 divisors (see below), whose sum is σ = 1070620992. Its totient is φ = 126564480.

The previous prime is 419131781. The next prime is 419131831. The reversal of 419131812 is 218131914.

It is a self number, because there is not a number n which added to its sum of digits gives 419131812.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33258 + ... + 44094.

It is an arithmetic number, because the mean of its divisors is an integer number (22304604).

Almost surely, 2419131812 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 419131812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535310496).

419131812 is an abundant number, since it is smaller than the sum of its proper divisors (651489180).

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

419131812 is a wasteful number, since it uses less digits than its factorization.

419131812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11146 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 419131812 is about 20472.7089560713. The cubic root of 419131812 is about 748.3708709246.

It can be divided in two parts, 419 and 131812, that added together give a palindrome (132231).

The spelling of 419131812 in words is "four hundred nineteen million, one hundred thirty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 1172 1758 3223 3516 6446 9669 10837 12892 19338 21674 32511 38676 43348 65022 119207 130044 238414 357621 476828 715242 1430484 3175241 6350482 9525723 12700964 19051446 34927651 38102892 69855302 104782953 139710604 209565906 419131812