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49050400 = 2552719461
BaseRepresentation
bin1011101100011…
…1001100100000
310102022000111111
42323013030200
5100024103100
64511153104
71133631040
oct273071440
9112260444
1049050400
1125762323
1214515794
13a215109
14672b720
15448d6ba
hex2ec7320

49050400 has 144 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 15897600.

The previous prime is 49050383. The next prime is 49050413. The reversal of 49050400 is 405094.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106170 + ... + 106630.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 249050400 is an apocalyptic number.

49050400 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 49050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

49050400 is an abundant number, since it is smaller than the sum of its proper divisors (95315360).

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

49050400 is a wasteful number, since it uses less digits than its factorization.

49050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 49050400 is about 7003.5990747615. The cubic root of 49050400 is about 366.0559899214.

Adding to 49050400 its reverse (405094), we get a palindrome (49455494).

The spelling of 49050400 in words is "forty-nine million, fifty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 350 380 400 461 475 532 560 608 665 700 760 800 922 950 1064 1120 1330 1400 1520 1844 1900 2128 2305 2660 2800 3040 3227 3325 3688 3800 4256 4610 5320 5600 6454 6650 7376 7600 8759 9220 10640 11525 12908 13300 14752 15200 16135 17518 18440 21280 23050 25816 26600 32270 35036 36880 43795 46100 51632 53200 61313 64540 70072 73760 80675 87590 92200 103264 106400 122626 129080 140144 161350 175180 184400 218975 245252 258160 280288 306565 322700 350360 368800 437950 490504 516320 613130 645400 700720 875900 981008 1226260 1290800 1401440 1532825 1751800 1962016 2452520 2581600 3065650 3503600 4905040 6131300 7007200 9810080 12262600 24525200 49050400