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428253696 = 2933132383
BaseRepresentation
bin11001100001101…
…010001000000000
31002211211112122000
4121201222020000
51334113104241
6110254544000
713420045023
oct3141521000
91084745560
10428253696
111aa813382
12bb508000
136a954770
1440c3b1ba
15278e4eb6
hex1986a200

428253696 has 160 divisors (see below), whose sum is σ = 1365745920. Its totient is φ = 131715072.

The previous prime is 428253659. The next prime is 428253737. The reversal of 428253696 is 696352824.

428253696 is a `hidden beast` number, since 4 + 28 + 2 + 536 + 96 = 666.

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, 178521 + ... + 180903.

It is an arithmetic number, because the mean of its divisors is an integer number (8535912).

Almost surely, 2428253696 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 428253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682872960).

428253696 is an abundant number, since it is smaller than the sum of its proper divisors (937492224).

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

428253696 is a wasteful number, since it uses less digits than its factorization.

428253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2401 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 428253696 is about 20694.2913867569. The cubic root of 428253696 is about 753.7610755532.

The spelling of 428253696 in words is "four hundred twenty-eight million, two hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2383 2496 2808 3328 3456 3744 4608 4766 4992 5616 6656 6912 7149 7488 9532 9984 11232 13824 14298 14976 19064 19968 21447 22464 28596 29952 30979 38128 42894 44928 57192 59904 61958 64341 76256 85788 89856 92937 114384 123916 128682 152512 171576 179712 185874 228768 247832 257364 278811 305024 343152 371748 457536 495664 514728 557622 610048 686304 743496 836433 915072 991328 1029456 1115244 1220096 1372608 1486992 1672866 1830144 1982656 2058912 2230488 2745216 2973984 3345732 3660288 3965312 4117824 4460976 5490432 5947968 6691464 7930624 8235648 8921952 10980864 11895936 13382928 15861248 16471296 17843904 23791872 26765856 32942592 35687808 47583744 53531712 71375616 107063424 142751232 214126848 428253696