Search a number
-
+
419946440 = 23545722973
BaseRepresentation
bin11001000001111…
…101111111001000
31002021012111012212
4121001331333020
51330001241230
6105400524252
713256325434
oct3101757710
91067174185
10419946440
111a6059a81
12b8780688
1369006524
143dab79c4
1526d03895
hex1907dfc8

419946440 has 32 divisors (see below), whose sum is σ = 946988280. Its totient is φ = 167603712.

The previous prime is 419946437. The next prime is 419946451. The reversal of 419946440 is 44649914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 399280324 + 20666116 = 19982^2 + 4546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6794 + ... + 29766.

Almost surely, 2419946440 is an apocalyptic number.

419946440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419946440 is an abundant number, since it is smaller than the sum of its proper divisors (527041840).

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

419946440 is a wasteful number, since it uses less digits than its factorization.

419946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23441 (or 23437 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 419946440 is about 20492.5947600591. The cubic root of 419946440 is about 748.8554037174.

The spelling of 419946440 in words is "four hundred nineteen million, nine hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 9140 18280 22973 45946 91892 114865 183784 229730 459460 918920 10498661 20997322 41994644 52493305 83989288 104986610 209973220 419946440