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428244992 = 21571867
BaseRepresentation
bin11001100001101…
…000000000000000
31002211211002200122
4121201220000000
51334112314432
6110254435412
713420010450
oct3141500000
91084732618
10428244992
111aa80788a
12bb502b68
136a950806
1440c37d60
15278e2612
hex19868000

428244992 has 64 divisors (see below), whose sum is σ = 979355040. Its totient is φ = 183435264.

The previous prime is 428244953. The next prime is 428245003. The reversal of 428244992 is 299442824.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228443 + ... + 230309.

Almost surely, 2428244992 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 428244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489677520).

428244992 is an abundant number, since it is smaller than the sum of its proper divisors (551110048).

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

428244992 is an frugal number, since it uses more digits than its factorization.

428244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1876 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 428244992 is about 20694.0810861463. The cubic root of 428244992 is about 753.7559689377.

The spelling of 428244992 in words is "four hundred twenty-eight million, two hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 1867 2048 3584 3734 4096 7168 7468 8192 13069 14336 14936 16384 26138 28672 29872 32768 52276 57344 59744 104552 114688 119488 209104 229376 238976 418208 477952 836416 955904 1672832 1911808 3345664 3823616 6691328 7647232 13382656 15294464 26765312 30588928 53530624 61177856 107061248 214122496 428244992