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2425395000 = 23354723099
BaseRepresentation
bin1001000010010000…
…1001011100111000
320021000210211110110
42100210021130320
514431400120000
61040400344320
7114050342310
oct22044113470
96230724413
102425395000
111035088186
125783150a0
132c863a892
14190190440
15e2de0850
hex90909738

2425395000 has 160 divisors (see below), whose sum is σ = 8659728000. Its totient is φ = 554352000.

The previous prime is 2425394977. The next prime is 2425395043. The reversal of 2425395000 is 5935242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93451 + ... + 116549.

It is an arithmetic number, because the mean of its divisors is an integer number (54123300).

Almost surely, 22425395000 is an apocalyptic number.

2425395000 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 2425395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329864000).

2425395000 is an abundant number, since it is smaller than the sum of its proper divisors (6234333000).

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

2425395000 is a wasteful number, since it uses less digits than its factorization.

2425395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23135 (or 23116 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2425395000 is about 49248.2994630271. The cubic root of 2425395000 is about 1343.5716330763.

The spelling of 2425395000 in words is "two billion, four hundred twenty-five million, three hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3500 3750 4200 4375 5000 5250 7000 7500 8750 10500 13125 15000 17500 21000 23099 26250 35000 46198 52500 69297 92396 105000 115495 138594 161693 184792 230990 277188 323386 346485 461980 485079 554376 577475 646772 692970 808465 923960 970158 1154950 1293544 1385940 1616930 1732425 1940316 2309900 2425395 2771880 2887375 3233860 3464850 3880632 4042325 4619800 4850790 5774750 6467720 6929700 8084650 8662125 9701580 11549500 12126975 13859400 14436875 16169300 17324250 19403160 20211625 23099000 24253950 28873750 32338600 34648500 40423250 43310625 48507900 57747500 60634875 69297000 80846500 86621250 97015800 101058125 115495000 121269750 161693000 173242500 202116250 242539500 303174375 346485000 404232500 485079000 606348750 808465000 1212697500 2425395000