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48838950 = 2345231389
BaseRepresentation
bin1011101001001…
…1100100100110
310101220021110000
42322103210212
5100000321300
64502442130
71132060416
oct272234446
9111807400
1048838950
1125628476
1214433346
13a16cab4
1466b4646
15444ac00
hex2e93926

48838950 has 120 divisors (see below), whose sum is σ = 140437440. Its totient is φ = 12571200.

The previous prime is 48838931. The next prime is 48838963. The reversal of 48838950 is 5983884.

48838950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48838896 and 48838905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125356 + ... + 125744.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 248838950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48838950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

48838950 is an abundant number, since it is smaller than the sum of its proper divisors (91598490).

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

48838950 is a wasteful number, since it uses less digits than its factorization.

48838950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 48838950 is about 6988.4869607090. The cubic root of 48838950 is about 365.5292254074.

The spelling of 48838950 in words is "forty-eight million, eight hundred thirty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 135 150 155 162 186 225 270 279 310 389 405 450 465 558 675 775 778 810 837 930 1167 1350 1395 1550 1674 1945 2025 2325 2334 2511 2790 3501 3890 4050 4185 4650 5022 5835 6975 7002 8370 9725 10503 11670 12059 12555 13950 17505 19450 20925 21006 24118 25110 29175 31509 35010 36177 41850 52515 58350 60295 62775 63018 72354 87525 105030 108531 120590 125550 157545 175050 180885 217062 262575 301475 315090 325593 361770 525150 542655 602950 651186 787725 904425 976779 1085310 1575450 1627965 1808850 1953558 2713275 3255930 4883895 5426550 8139825 9767790 16279650 24419475 48838950