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425382000 = 24353312287
BaseRepresentation
bin11001010110101…
…101000001110000
31002122102122101220
4121112231001300
51332344211000
6110113225040
713353454521
oct3126550160
91078378356
10425382000
111a913187a
12ba562180
136a18a634
14406d0848
15275291a0
hex195ad070

425382000 has 160 divisors (see below), whose sum is σ = 1416290304. Its totient is φ = 109728000.

The previous prime is 425381981. The next prime is 425382019. The reversal of 425382000 is 283524.

It is an interprime number because it is at equal distance from previous prime (425381981) and next prime (425382019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 184857 + ... + 187143.

Almost surely, 2425382000 is an apocalyptic number.

425382000 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 425382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708145152).

425382000 is an abundant number, since it is smaller than the sum of its proper divisors (990908304).

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

425382000 is a wasteful number, since it uses less digits than its factorization.

425382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 425382000 is about 20624.7909080310. The cubic root of 425382000 is about 752.0724899941.

The spelling of 425382000 in words is "four hundred twenty-five million, three hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2287 2325 2480 3000 3100 3720 3875 4574 4650 6000 6200 6861 7440 7750 9148 9300 11435 11625 12400 13722 15500 18296 18600 22870 23250 27444 31000 34305 36592 37200 45740 46500 54888 57175 62000 68610 70897 91480 93000 109776 114350 137220 141794 171525 182960 186000 212691 228700 274440 283588 285875 343050 354485 425382 457400 548880 567176 571750 686100 708970 850764 857625 914800 1063455 1134352 1143500 1372200 1417940 1701528 1715250 1772425 2126910 2287000 2744400 2835880 3403056 3430500 3544850 4253820 4574000 5317275 5671760 6861000 7089700 8507640 8862125 10634550 13722000 14179400 17015280 17724250 21269100 26586375 28358800 35448500 42538200 53172750 70897000 85076400 106345500 141794000 212691000 425382000