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2425483800 = 2332524331337
BaseRepresentation
bin1001000010010001…
…1111001000011000
320021000222100021100
42100210133020120
514431410440200
61040402311400
7114051162225
oct22044371030
96230870240
102425483800
111035138973
12578358560
132c866c11c
141901b494c
15e2e0bd00
hex9091f218

2425483800 has 144 divisors (see below), whose sum is σ = 8335281240. Its totient is φ = 631733760.

The previous prime is 2425483787. The next prime is 2425483813. The reversal of 2425483800 is 83845242.

2425483800 is a `hidden beast` number, since 24 + 254 + 8 + 380 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2425483787) and next prime (2425483813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61732 + ... + 93068.

Almost surely, 22425483800 is an apocalyptic number.

2425483800 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 2425483800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167640620).

2425483800 is an abundant number, since it is smaller than the sum of its proper divisors (5909797440).

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

2425483800 is a wasteful number, since it uses less digits than its factorization.

2425483800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31402 (or 31390 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2425483800 is about 49249.2010087473. The cubic root of 2425483800 is about 1343.5880300900.

The spelling of 2425483800 in words is "two billion, four hundred twenty-five million, four hundred eighty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 900 1032 1075 1290 1548 1720 1800 1935 2150 2580 3096 3225 3870 4300 5160 6450 7740 8600 9675 12900 15480 19350 25800 31337 38700 62674 77400 94011 125348 156685 188022 250696 282033 313370 376044 470055 564066 626740 752088 783425 940110 1128132 1253480 1347491 1410165 1566850 1880220 2256264 2350275 2694982 2820330 3133700 3760440 4042473 4700550 5389964 5640660 6267400 6737455 7050825 8084946 9401100 10779928 11281320 12127419 13474910 14101650 16169892 18802200 20212365 24254838 26949820 28203300 32339784 33687275 40424730 48509676 53899640 56406600 60637095 67374550 80849460 97019352 101061825 121274190 134749100 161698920 202123650 242548380 269498200 303185475 404247300 485096760 606370950 808494600 1212741900 2425483800