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428147244 = 2232717139719
BaseRepresentation
bin11001100001010…
…000001000101100
31002211122010121100
4121201100020230
51334101202434
6110252403100
713416122460
oct3141201054
91084563540
10428147244
111aa7503a8
12bb476490
136a918185
1440c104a0
15278c3699
hex1985022c

428147244 has 144 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 114144768.

The previous prime is 428147201. The next prime is 428147249. The reversal of 428147244 is 442741824.

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

It is a junction number, because it is equal to n+sod(n) for n = 428147199 and 428147208.

It is not an unprimeable number, because it can be changed into a prime (428147249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595117 + ... + 595835.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2428147244 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 428147244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

428147244 is an abundant number, since it is smaller than the sum of its proper divisors (892735956).

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

428147244 is a wasteful number, since it uses less digits than its factorization.

428147244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 428147244 is about 20691.7192132505. The cubic root of 428147244 is about 753.6986156732.

The spelling of 428147244 in words is "four hundred twenty-eight million, one hundred forty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 139 153 204 238 252 278 306 357 417 476 556 612 714 719 834 973 1071 1251 1428 1438 1668 1946 2142 2157 2363 2502 2876 2919 3892 4284 4314 4726 5004 5033 5838 6471 7089 8628 8757 9452 10066 11676 12223 12942 14178 15099 16541 17514 20132 21267 24446 25884 28356 30198 33082 35028 36669 42534 45297 48892 49623 60396 66164 73338 85068 85561 90594 99246 99941 110007 146676 148869 171122 181188 198492 199882 220014 256683 297738 299823 342244 399764 440028 513366 595476 599646 699587 770049 899469 1026732 1199292 1399174 1540098 1698997 1798938 2098761 2798348 3080196 3397994 3597876 4197522 5096991 6296283 6795988 8395044 10193982 11892979 12592566 15290973 20387964 23785958 25185132 30581946 35678937 47571916 61163892 71357874 107036811 142715748 214073622 428147244