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421436448 = 253210314207
BaseRepresentation
bin11001000111101…
…001110000100000
31002101000012010100
4121013221300200
51330341431243
6105452502400
713305102456
oct3107516040
91071005110
10421436448
111a6987494
12b917aa00
13694087a4
143dd849d6
1526eea0d3
hex191e9c20

421436448 has 72 divisors (see below), whose sum is σ = 1210180608. Its totient is φ = 139105152.

The previous prime is 421436447. The next prime is 421436453. The reversal of 421436448 is 844634124.

421436448 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (421436441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22561 + ... + 36767.

It is an arithmetic number, because the mean of its divisors is an integer number (16808064).

Almost surely, 2421436448 is an apocalyptic number.

421436448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421436448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605090304).

421436448 is an abundant number, since it is smaller than the sum of its proper divisors (788744160).

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

421436448 is a wasteful number, since it uses less digits than its factorization.

421436448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326 (or 14315 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 421436448 is about 20528.9173606403. The cubic root of 421436448 is about 749.7400272293.

The spelling of 421436448 in words is "four hundred twenty-one million, four hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14207 14832 28414 29664 42621 56828 85242 113656 127863 170484 227312 255726 340968 454624 511452 681936 1022904 1363872 1463321 2045808 2926642 4091616 4389963 5853284 8779926 11706568 13169889 17559852 23413136 26339778 35119704 46826272 52679556 70239408 105359112 140478816 210718224 421436448