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28993440 = 253578629
BaseRepresentation
bin110111010011…
…0011110100000
32000120000112010
41232212132200
524410242230
62513232520
7501303660
oct156463640
960500463
1028993440
1115403223
129862740
136011aa8
143bca1a0
15282a9b0
hex1ba67a0

28993440 has 96 divisors (see below), whose sum is σ = 104388480. Its totient is φ = 6626304.

The previous prime is 28993439. The next prime is 28993453. The reversal of 28993440 is 4439982.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955 + ... + 7674.

It is an arithmetic number, because the mean of its divisors is an integer number (1087380).

Almost surely, 228993440 is an apocalyptic number.

28993440 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 28993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52194240).

28993440 is an abundant number, since it is smaller than the sum of its proper divisors (75395040).

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

28993440 is a wasteful number, since it uses less digits than its factorization.

28993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 28993440 is about 5384.5556919768. Note that the first 3 decimals coincide. The cubic root of 28993440 is about 307.2085148465.

The spelling of 28993440 in words is "twenty-eight million, nine hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8629 17258 25887 34516 43145 51774 60403 69032 86290 103548 120806 129435 138064 172580 181209 207096 241612 258870 276128 302015 345160 362418 414192 483224 517740 604030 690320 724836 828384 906045 966448 1035480 1208060 1380640 1449672 1812090 1932896 2070960 2416120 2899344 3624180 4141920 4832240 5798688 7248360 9664480 14496720 28993440