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28451540 = 225131741157
BaseRepresentation
bin110110010001…
…0001011010100
31222112111011202
41230202023110
524240422130
62453452032
7463556045
oct154421324
958474152
1028451540
1115073077
129641018
135b82240
143ac88cc
152770145
hex1b222d4

28451540 has 96 divisors (see below), whose sum is σ = 70235424. Its totient is φ = 9584640.

The previous prime is 28451539. The next prime is 28451567. The reversal of 28451540 is 4515482.

It can be written as a sum of positive squares in 16 ways, for example, as 17455684 + 10995856 = 4178^2 + 3316^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181142 + ... + 181298.

It is an arithmetic number, because the mean of its divisors is an integer number (731619).

Almost surely, 228451540 is an apocalyptic number.

28451540 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 28451540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35117712).

28451540 is an abundant number, since it is smaller than the sum of its proper divisors (41783884).

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

28451540 is a wasteful number, since it uses less digits than its factorization.

28451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 28451540 is about 5333.9985001873. The cubic root of 28451540 is about 305.2825116857.

The spelling of 28451540 in words is "twenty-eight million, four hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 157 164 170 205 221 260 314 340 410 442 533 628 697 785 820 884 1066 1105 1394 1570 2041 2132 2210 2665 2669 2788 3140 3485 4082 4420 5330 5338 6437 6970 8164 9061 10205 10660 10676 12874 13345 13940 18122 20410 25748 26690 32185 34697 36244 40820 45305 53380 64370 69394 83681 90610 109429 128740 138788 167362 173485 181220 218858 334724 346970 418405 437716 547145 693940 836810 1094290 1422577 1673620 2188580 2845154 5690308 7112885 14225770 28451540