[go: up one dir, main page]

Search a number
-
+
28476500 = 2253132337
BaseRepresentation
bin110110010100…
…0010001010100
31222120202102012
41230220101110
524242222000
62454203352
7464021603
oct154502124
958522365
1028476500
111508a8a8
129653558
135b90700
143ad3a3a
152777735
hex1b28454

28476500 has 72 divisors (see below), whose sum is σ = 67544568. Its totient is φ = 10483200.

The previous prime is 28476493. The next prime is 28476523. The reversal of 28476500 is 567482.

It can be written as a sum of positive squares in 12 ways, for example, as 28366276 + 110224 = 5326^2 + 332^2 .

It is a super-2 number, since 2×284765002 = 1621822104500000, which contains 22 as substring.

It is a congruent number.

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, 84332 + ... + 84668.

It is an arithmetic number, because the mean of its divisors is an integer number (938119).

Almost surely, 228476500 is an apocalyptic number.

28476500 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 28476500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33772284).

28476500 is an abundant number, since it is smaller than the sum of its proper divisors (39068068).

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

28476500 is a wasteful number, since it uses less digits than its factorization.

28476500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 28476500 is about 5336.3376954612. The cubic root of 28476500 is about 305.3717584579.

The spelling of 28476500 in words is "twenty-eight million, four hundred seventy-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 337 338 500 650 674 676 845 1300 1348 1625 1685 1690 3250 3370 3380 4225 4381 6500 6740 8425 8450 8762 16850 16900 17524 21125 21905 33700 42125 42250 43810 56953 84250 84500 87620 109525 113906 168500 219050 227812 284765 438100 547625 569530 1095250 1139060 1423825 2190500 2847650 5695300 7119125 14238250 28476500