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28455400 = 2352731949
BaseRepresentation
bin110110010001…
…1000111101000
31222112200110201
41230203013220
524241033100
62453521544
7463603231
oct154430750
958480421
1028455400
1115075a66
1296432b4
135b83c1c
143aca088
15277136a
hex1b231e8

28455400 has 48 divisors (see below), whose sum is σ = 67099500. Its totient is φ = 11220480.

The previous prime is 28455397. The next prime is 28455421. The reversal of 28455400 is 455482.

It can be written as a sum of positive squares in 6 ways, for example, as 15824484 + 12630916 = 3978^2 + 3554^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13626 + ... + 15574.

Almost surely, 228455400 is an apocalyptic number.

28455400 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 28455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33549750).

28455400 is an abundant number, since it is smaller than the sum of its proper divisors (38644100).

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

28455400 is a wasteful number, since it uses less digits than its factorization.

28455400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 28455400 is about 5334.3603177888. The cubic root of 28455400 is about 305.2963168811.

The spelling of 28455400 in words is "twenty-eight million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 1949 2920 3650 3898 7300 7796 9745 14600 15592 19490 38980 48725 77960 97450 142277 194900 284554 389800 569108 711385 1138216 1422770 2845540 3556925 5691080 7113850 14227700 28455400