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49289400 = 233252139197
BaseRepresentation
bin1011110000000…
…1100010111000
310102202011100100
42330001202320
5100104230100
64520235400
71135644606
oct274014270
9112664310
1049289400
1125905946
121460bb60
13a299b34
146790876
1544d9400
hex2f018b8

49289400 has 144 divisors (see below), whose sum is σ = 167567400. Its totient is φ = 12983040.

The previous prime is 49289399. The next prime is 49289423. The reversal of 49289400 is 498294.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250102 + ... + 250298.

Almost surely, 249289400 is an apocalyptic number.

49289400 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 49289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83783700).

49289400 is an abundant number, since it is smaller than the sum of its proper divisors (118278000).

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

49289400 is a wasteful number, since it uses less digits than its factorization.

49289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49289400 is about 7020.6409963763. The cubic root of 49289400 is about 366.6495676140.

The spelling of 49289400 in words is "forty-nine million, two hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 139 150 180 197 200 225 278 300 360 394 417 450 556 591 600 695 788 834 900 985 1112 1182 1251 1390 1576 1668 1773 1800 1970 2085 2364 2502 2780 2955 3336 3475 3546 3940 4170 4728 4925 5004 5560 5910 6255 6950 7092 7880 8340 8865 9850 10008 10425 11820 12510 13900 14184 14775 16680 17730 19700 20850 23640 25020 27383 27800 29550 31275 35460 39400 41700 44325 50040 54766 59100 62550 70920 82149 83400 88650 109532 118200 125100 136915 164298 177300 219064 246447 250200 273830 328596 354600 410745 492894 547660 657192 684575 821490 985788 1095320 1232235 1369150 1642980 1971576 2053725 2464470 2738300 3285960 4107450 4928940 5476600 6161175 8214900 9857880 12322350 16429800 24644700 49289400