Search a number
-
+
28300263852 = 2237377921459
BaseRepresentation
bin11010010110110100…
…111100000110101100
32201001021221100201110
4122112310330012230
5430424331420402
621000112512020
72021210162610
oct322664740654
981037840643
1028300263852
1111002841113
12559984b610
1328901ab973
1415267d1340
15b097c856c
hex696d3c1ac

28300263852 has 144 divisors (see below), whose sum is σ = 78554353920. Its totient is φ = 7762345344.

The previous prime is 28300263793. The next prime is 28300263949. The reversal of 28300263852 is 25836200382.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28300263852.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19396299 + ... + 19397757.

Almost surely, 228300263852 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 28300263852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39277176960).

28300263852 is an abundant number, since it is smaller than the sum of its proper divisors (50254090068).

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

28300263852 is a wasteful number, since it uses less digits than its factorization.

28300263852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 28300263852 in words is "twenty-eight billion, three hundred million, two hundred sixty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 79 84 111 148 158 222 237 259 316 444 474 518 553 777 948 1036 1106 1459 1554 1659 2212 2918 2923 3108 3318 4377 5836 5846 6241 6636 8754 8769 10213 11692 12482 17508 17538 18723 20426 20461 24964 30639 35076 37446 40852 40922 43687 53983 61278 61383 74892 81844 87374 107966 115261 122556 122766 131061 161949 174748 215932 230522 230917 245532 262122 323898 345783 377881 461044 461834 524244 647796 691566 692751 755762 806827 923668 1133643 1383132 1385502 1511524 1613654 1616419 2267286 2420481 2771004 3227308 3232838 4264657 4534572 4840962 4849257 6465676 8529314 9105619 9681924 9698514 12793971 17058628 18211238 19397028 25587942 27316857 29852599 36422476 51175884 54633714 59705198 63739333 89557797 109267428 119410396 127478666 179115594 191217999 254957332 336907903 358231188 382435998 673815806 764871996 1010723709 1347631612 2021447418 2358355321 4042894836 4716710642 7075065963 9433421284 14150131926 28300263852