Search a number
-
+
28450240 = 265713977
BaseRepresentation
bin110110010000…
…1110111000000
31222112102101121
41230201313000
524240401430
62453442024
7463552210
oct154416700
958472347
1028450240
11150720a5
129640314
135b81780
143ac8240
15276ea7a
hex1b21dc0

28450240 has 112 divisors (see below), whose sum is σ = 83466432. Its totient is φ = 8994816.

The previous prime is 28450237. The next prime is 28450249. The reversal of 28450240 is 4205482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28450249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28632 + ... + 29608.

It is an arithmetic number, because the mean of its divisors is an integer number (745236).

Almost surely, 228450240 is an apocalyptic number.

28450240 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 28450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41733216).

28450240 is an abundant number, since it is smaller than the sum of its proper divisors (55016192).

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

28450240 is a wasteful number, since it uses less digits than its factorization.

28450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 28450240 is about 5333.8766389934. The cubic root of 28450240 is about 305.2778619865.

The spelling of 28450240 in words is "twenty-eight million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 977 1040 1120 1456 1820 1954 2080 2240 2912 3640 3908 4160 4885 5824 6839 7280 7816 9770 12701 13678 14560 15632 19540 25402 27356 29120 31264 34195 39080 50804 54712 62528 63505 68390 78160 88907 101608 109424 127010 136780 156320 177814 203216 218848 254020 273560 312640 355628 406432 437696 444535 508040 547120 711256 812864 889070 1016080 1094240 1422512 1778140 2032160 2188480 2845024 3556280 4064320 5690048 7112560 14225120 28450240