Search a number
-
+
48850200 = 23325273877
BaseRepresentation
bin1011101001011…
…0010100011000
310101220211212200
42322112110120
5100001201300
64503010200
71132135260
oct272262430
9111824780
1048850200
1125635973
1214439960
13a174c59
1466b87a0
15444e200
hex2e96518

48850200 has 144 divisors (see below), whose sum is σ = 187540080. Its totient is φ = 11162880.

The previous prime is 48850187. The next prime is 48850211. The reversal of 48850200 is 205884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10662 + ... + 14538.

Almost surely, 248850200 is an apocalyptic number.

48850200 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 48850200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93770040).

48850200 is an abundant number, since it is smaller than the sum of its proper divisors (138689880).

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

48850200 is a wasteful number, since it uses less digits than its factorization.

48850200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48850200 is about 6989.2918096185. The cubic root of 48850200 is about 365.5572896749.

Subtracting from 48850200 its reverse (205884), we obtain a triangular number (48644316 = T9863).

The spelling of 48850200 in words is "forty-eight million, eight hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 3877 4200 6300 7754 11631 12600 15508 19385 23262 27139 31016 34893 38770 46524 54278 58155 69786 77540 81417 93048 96925 108556 116310 135695 139572 155080 162834 174465 193850 217112 232620 244251 271390 279144 290775 325668 348930 387700 407085 465240 488502 542780 581550 651336 678475 697860 775400 814170 872325 977004 1085560 1163100 1221255 1356950 1395720 1628340 1744650 1954008 2035425 2326200 2442510 2713900 3256680 3489300 4070850 4885020 5427800 6106275 6978600 8141700 9770040 12212550 16283400 24425100 48850200