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427974848 = 26719137367
BaseRepresentation
bin11001100000100…
…110000011000000
31002211022101010022
4121200212003000
51334030143343
6110244553012
713414504040
oct3140460300
91084271108
10427974848
111aa642924
12bb3b2768
136a887872
1440ba7720
152788c568
hex198260c0

427974848 has 112 divisors (see below), whose sum is σ = 1031930880. Its totient is φ = 172025856.

The previous prime is 427974797. The next prime is 427974857. The reversal of 427974848 is 848479724.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 427974848.

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, 1165961 + ... + 1166327.

Almost surely, 2427974848 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 427974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515965440).

427974848 is an abundant number, since it is smaller than the sum of its proper divisors (603956032).

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

427974848 is a wasteful number, since it uses less digits than its factorization.

427974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 53.

The square root of 427974848 is about 20687.5529727418. The cubic root of 427974848 is about 753.5974417026.

The spelling of 427974848 in words is "four hundred twenty-seven million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 137 152 224 266 274 304 367 448 532 548 608 734 959 1064 1096 1216 1468 1918 2128 2192 2569 2603 2936 3836 4256 4384 5138 5206 5872 6973 7672 8512 8768 10276 10412 11744 13946 15344 18221 20552 20824 23488 27892 30688 36442 41104 41648 48811 50279 55784 61376 72884 82208 83296 97622 100558 111568 145768 164416 166592 195244 201116 223136 291536 351953 390488 402232 446272 583072 703906 780976 804464 955301 1166144 1407812 1561952 1608928 1910602 2815624 3123904 3217856 3821204 5631248 6687107 7642408 11262496 13374214 15284816 22524992 26748428 30569632 53496856 61139264 106993712 213987424 427974848