Search a number
-
+
28749700 = 2252767613
BaseRepresentation
bin110110110101…
…0111110000100
32000002122011201
41231222332010
524324442300
62504112244
7466240240
oct155527604
960078151
1028749700
1115257091
129765684
135c57b75
143b65420
1527cd66a
hex1b6af84

28749700 has 72 divisors (see below), whose sum is σ = 72481472. Its totient is φ = 9694080.

The previous prime is 28749689. The next prime is 28749713. The reversal of 28749700 is 794782.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28749700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46594 + ... + 47206.

Almost surely, 228749700 is an apocalyptic number.

28749700 is a gapful number since it is divisible by the number (20) 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 28749700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240736).

28749700 is an abundant number, since it is smaller than the sum of its proper divisors (43731772).

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

28749700 is a wasteful number, since it uses less digits than its factorization.

28749700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 28749700 is about 5361.8746721646. The cubic root of 28749700 is about 306.3452182054.

The spelling of 28749700 in words is "twenty-eight million, seven hundred forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 613 670 700 938 1226 1340 1675 1876 2345 2452 3065 3350 4291 4690 6130 6700 8582 9380 11725 12260 15325 17164 21455 23450 30650 41071 42910 46900 61300 82142 85820 107275 164284 205355 214550 287497 410710 429100 574994 821420 1026775 1149988 1437485 2053550 2874970 4107100 5749940 7187425 14374850 28749700