Search a number
-
+
28462104 = 2335114
BaseRepresentation
bin110110010010…
…0110000011000
31222120000200000
41230210300120
524241241404
62454013000
7463631616
oct154446030
958500600
1028462104
1115080000
129647160
135b86ca8
143acc6b6
152773339
hex1b24c18

28462104 has 120 divisors (see below), whose sum is σ = 87933300. Its totient is φ = 8624880.

The previous prime is 28462073. The next prime is 28462117. The reversal of 28462104 is 40126482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2587459 + ... + 2587469.

Almost surely, 228462104 is an apocalyptic number.

28462104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28462104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43966650).

28462104 is an abundant number, since it is smaller than the sum of its proper divisors (59471196).

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

28462104 is an frugal number, since it uses more digits than its factorization.

28462104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28462104 is about 5334.9886597818. The cubic root of 28462104 is about 305.3202906061.

Adding to 28462104 its reverse (40126482), we get a palindrome (68588586).

It can be divided in two parts, 2846 and 2104, that added together give a triangular number (4950 = T99).

The spelling of 28462104 in words is "twenty-eight million, four hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 243 264 297 324 363 396 484 486 594 648 726 792 891 968 972 1089 1188 1331 1452 1782 1944 2178 2376 2662 2673 2904 3267 3564 3993 4356 5324 5346 6534 7128 7986 8712 9801 10648 10692 11979 13068 14641 15972 19602 21384 23958 26136 29282 29403 31944 35937 39204 43923 47916 58564 58806 71874 78408 87846 95832 107811 117128 117612 131769 143748 175692 215622 235224 263538 287496 323433 351384 395307 431244 527076 646866 790614 862488 1054152 1185921 1293732 1581228 2371842 2587464 3162456 3557763 4743684 7115526 9487368 14231052 28462104