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28247040 = 210325613
BaseRepresentation
bin110101111000…
…0010000000000
31222011002122200
41223300100000
524212401130
62445233200
7462044613
oct153602000
958132580
1028247040
1114a43468
129562800
135b10133
143a7417a
15272e760
hex1af0400

28247040 has 132 divisors (see below), whose sum is σ = 98034924. Its totient is φ = 7520256.

The previous prime is 28247033. The next prime is 28247069. The reversal of 28247040 is 4074282.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 24920064 = 1824^2 + 4992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28246995 and 28247013.

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, 45774 + ... + 46386.

Almost surely, 228247040 is an apocalyptic number.

28247040 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 28247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49017462).

28247040 is an abundant number, since it is smaller than the sum of its proper divisors (69787884).

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

28247040 is a wasteful number, since it uses less digits than its factorization.

28247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 28247040 is about 5314.7944456959. The cubic root of 28247040 is about 304.5493299358.

The spelling of 28247040 in words is "twenty-eight million, two hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 613 640 720 768 960 1024 1152 1226 1280 1440 1536 1839 1920 2304 2452 2560 2880 3065 3072 3678 3840 4608 4904 5120 5517 5760 6130 7356 7680 9195 9216 9808 11034 11520 12260 14712 15360 18390 19616 22068 23040 24520 27585 29424 36780 39232 44136 46080 49040 55170 58848 73560 78464 88272 98080 110340 117696 147120 156928 176544 196160 220680 235392 294240 313856 353088 392320 441360 470784 588480 627712 706176 784640 882720 941568 1176960 1412352 1569280 1765440 1883136 2353920 2824704 3138560 3530880 4707840 5649408 7061760 9415680 14123520 28247040