Search a number
-
+
28316904 = 23372112199
BaseRepresentation
bin110110000000…
…1010011101000
31222021122111020
41230001103220
524222120104
62450532440
7462455400
oct154012350
958248436
1028316904
1114a90a00
129597120
135b35b85
143a91800
1527452d9
hex1b014e8

28316904 has 144 divisors (see below), whose sum is σ = 90972000. Its totient is φ = 7318080.

The previous prime is 28316903. The next prime is 28316909. The reversal of 28316904 is 40961382.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (28316903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142197 + ... + 142395.

It is an arithmetic number, because the mean of its divisors is an integer number (631750).

Almost surely, 228316904 is an apocalyptic number.

28316904 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 28316904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45486000).

28316904 is an abundant number, since it is smaller than the sum of its proper divisors (62655096).

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

28316904 is a wasteful number, since it uses less digits than its factorization.

28316904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 28316904 is about 5321.3629832967. The cubic root of 28316904 is about 304.8002059781.

The spelling of 28316904 in words is "twenty-eight million, three hundred sixteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 199 231 242 264 294 308 363 392 398 462 484 539 588 597 616 726 796 847 924 968 1078 1176 1194 1393 1452 1592 1617 1694 1848 2156 2189 2388 2541 2786 2904 3234 3388 4179 4312 4378 4776 5082 5572 5929 6468 6567 6776 8358 8756 9751 10164 11144 11858 12936 13134 15323 16716 17512 17787 19502 20328 23716 24079 26268 29253 30646 33432 35574 39004 45969 47432 48158 52536 58506 61292 71148 72237 78008 91938 96316 107261 117012 122584 142296 144474 168553 183876 192632 214522 234024 288948 321783 337106 367752 429044 505659 577896 643566 674212 858088 1011318 1179871 1287132 1348424 2022636 2359742 2574264 3539613 4045272 4719484 7079226 9438968 14158452 28316904