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48300840 = 2333576389
BaseRepresentation
bin1011100001000…
…0001100101000
310100212221022000
42320100030220
544331111330
64443131000
71124356530
oct270201450
9110787260
1048300840
11252a0155
1214213a60
13a011ba3
1465b44c0
154391560
hex2e10328

48300840 has 128 divisors (see below), whose sum is σ = 184032000. Its totient is φ = 11038464.

The previous prime is 48300839. The next prime is 48300887. The reversal of 48300840 is 4800384.

It is a super-2 number, since 2×483008402 = 4665942289411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4366 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (1437750).

Almost surely, 248300840 is an apocalyptic number.

48300840 is a gapful number since it is divisible by the number (40) 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 48300840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92016000).

48300840 is an abundant number, since it is smaller than the sum of its proper divisors (135731160).

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

48300840 is a wasteful number, since it uses less digits than its factorization.

48300840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48300840 is about 6949.8805745135. The cubic root of 48300840 is about 364.1817914137.

The spelling of 48300840 in words is "forty-eight million, three hundred thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 6389 7560 12778 19167 25556 31945 38334 44723 51112 57501 63890 76668 89446 95835 115002 127780 134169 153336 172503 178892 191670 223615 230004 255560 268338 287505 345006 357784 383340 402507 447230 460008 536676 575010 670845 690012 766680 805014 862515 894460 1073352 1150020 1207521 1341690 1380024 1610028 1725030 1788920 2012535 2300040 2415042 2683380 3220056 3450060 4025070 4830084 5366760 6037605 6900120 8050140 9660168 12075210 16100280 24150420 48300840