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49444000 = 255347263
BaseRepresentation
bin1011110010011…
…1010010100000
310110001000102021
42330213102200
5100124202000
64523431224
71140160414
oct274472240
9113030367
1049444000
1125a01011
1214685514
13a322308
1467d0d44
15451a11a
hex2f274a0

49444000 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 19283200.

The previous prime is 49443971. The next prime is 49444001. The reversal of 49444000 is 44494.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (49444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187869 + ... + 188131.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 249444000 is an apocalyptic number.

49444000 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 49444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

49444000 is an abundant number, since it is smaller than the sum of its proper divisors (75096416).

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

49444000 is a wasteful number, since it uses less digits than its factorization.

49444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 49444000 is about 7031.6427668078. The cubic root of 49444000 is about 367.0325090551.

Adding to 49444000 its reverse (44494), we get a palindrome (49488494).

The spelling of 49444000 in words is "forty-nine million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 263 376 400 470 500 526 752 800 940 1000 1052 1175 1315 1504 1880 2000 2104 2350 2630 3760 4000 4208 4700 5260 5875 6575 7520 8416 9400 10520 11750 12361 13150 18800 21040 23500 24722 26300 32875 37600 42080 47000 49444 52600 61805 65750 94000 98888 105200 123610 131500 188000 197776 210400 247220 263000 309025 395552 494440 526000 618050 988880 1052000 1236100 1545125 1977760 2472200 3090250 4944400 6180500 9888800 12361000 24722000 49444000