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483978000 = 24353117333
BaseRepresentation
bin11100110110001…
…110101100010000
31020201200122000010
4130312032230100
51442344244000
6120005154520
714664513402
oct3466165420
91221618003
10483978000
11229213920
121160bba40
137936551c
14483c4b72
152c750d50
hex1cd8eb10

483978000 has 160 divisors (see below), whose sum is σ = 1702426752. Its totient is φ = 117312000.

The previous prime is 483977999. The next prime is 483978017. The reversal of 483978000 is 879384.

It is a super-3 number, since 3×4839780003 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 483978000.

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, 62334 + ... + 69666.

Almost surely, 2483978000 is an apocalyptic number.

483978000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 21999×22000.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851213376).

483978000 is an abundant number, since it is smaller than the sum of its proper divisors (1218448752).

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

483978000 is a wasteful number, since it uses less digits than its factorization.

483978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 483978000 is about 21999.4999943181. The cubic root of 483978000 is about 785.1305447761.

The spelling of 483978000 in words is "four hundred eighty-three million, nine hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 7333 8250 11000 13200 14666 16500 21999 22000 29332 33000 36665 43998 58664 66000 73330 80663 87996 109995 117328 146660 161326 175992 183325 219990 241989 293320 322652 351984 366650 403315 439980 483978 549975 586640 645304 733300 806630 879960 916625 967956 1099950 1209945 1290608 1466600 1613260 1759920 1833250 1935912 2016575 2199900 2419890 2749875 2933200 3226520 3666500 3871824 4033150 4399800 4839780 5499750 6049725 6453040 7333000 8066300 8799600 9679560 10082875 10999500 12099450 14666000 16132600 19359120 20165750 21999000 24198900 30248625 32265200 40331500 43998000 48397800 60497250 80663000 96795600 120994500 161326000 241989000 483978000