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421411968 = 2732365809
BaseRepresentation
bin11001000111100…
…011110010000000
31002100221221112200
4121013203302000
51330340140333
6105452153200
713304641215
oct3107436200
91070857480
10421411968
111a697005a
12b9168800
13693ca5c3
143dd79b0c
1526ee2c13
hex191e3c80

421411968 has 48 divisors (see below), whose sum is σ = 1212660150. Its totient is φ = 140470272.

The previous prime is 421411937. The next prime is 421411993. The reversal of 421411968 is 869114124.

421411968 is a `hidden beast` number, since 421 + 41 + 196 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 390141504 + 31270464 = 19752^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181753 + ... + 184056.

Almost surely, 2421411968 is an apocalyptic number.

421411968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

421411968 is an abundant number, since it is smaller than the sum of its proper divisors (791248182).

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

421411968 is a wasteful number, since it uses less digits than its factorization.

421411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365829 (or 365814 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 421411968 is about 20528.3211198578. The cubic root of 421411968 is about 749.7255102194.

The spelling of 421411968 in words is "four hundred twenty-one million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 365809 731618 1097427 1463236 2194854 2926472 3292281 4389708 5852944 6584562 8779416 11705888 13169124 17558832 23411776 26338248 35117664 46823552 52676496 70235328 105352992 140470656 210705984 421411968