Search a number
-
+
28780152 = 23331101383
BaseRepresentation
bin110110111001…
…0011001111000
32000011011221120
41231302121320
524331431102
62504505240
7466425102
oct155623170
960134846
1028780152
1115277a55
12977b220
135c6899b
143b72572
1527d76bc
hex1b72678

28780152 has 64 divisors (see below), whose sum is σ = 75202560. Its totient is φ = 9168000.

The previous prime is 28780139. The next prime is 28780159. The reversal of 28780152 is 25108782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28780159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74953 + ... + 75335.

It is an arithmetic number, because the mean of its divisors is an integer number (1175040).

Almost surely, 228780152 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 28780152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601280).

28780152 is an abundant number, since it is smaller than the sum of its proper divisors (46422408).

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

28780152 is a wasteful number, since it uses less digits than its factorization.

28780152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 28780152 is about 5364.7135990657. The cubic root of 28780152 is about 306.4533414530.

The spelling of 28780152 in words is "twenty-eight million, seven hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 372 383 404 606 744 766 808 1149 1212 1532 2298 2424 3064 3131 4596 6262 9192 9393 11873 12524 18786 23746 25048 35619 37572 38683 47492 71238 75144 77366 94984 116049 142476 154732 232098 284952 309464 464196 928392 1199173 2398346 3597519 4796692 7195038 9593384 14390076 28780152