Search a number
-
+
49998000 = 2435313641
BaseRepresentation
bin1011111010111…
…0100010110000
310111002011100210
42332232202300
5100244414000
64543344120
71144655523
oct276564260
9114064323
1049998000
112624a268
12148b2040
13a487520
1468d6bba
1545c9350
hex2fae8b0

49998000 has 160 divisors (see below), whose sum is σ = 173863872. Its totient is φ = 12288000.

The previous prime is 49997999. The next prime is 49998007. The reversal of 49998000 is 89994.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49998000.

It is not an unprimeable number, because it can be changed into a prime (49998007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77680 + ... + 78320.

Almost surely, 249998000 is an apocalyptic number.

49998000 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 49998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86931936).

49998000 is an abundant number, since it is smaller than the sum of its proper divisors (123865872).

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

49998000 is a wasteful number, since it uses less digits than its factorization.

49998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 49998000 is about 7070.9263890950. The cubic root of 49998000 is about 368.3982377565.

The spelling of 49998000 in words is "forty-nine million, nine hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 641 650 750 780 975 1000 1040 1200 1282 1300 1500 1560 1625 1923 1950 2000 2564 2600 3000 3120 3205 3250 3846 3900 4875 5128 5200 6000 6410 6500 7692 7800 8333 9615 9750 10256 12820 13000 15384 15600 16025 16666 19230 19500 24999 25640 26000 30768 32050 33332 38460 39000 41665 48075 49998 51280 64100 66664 76920 78000 80125 83330 96150 99996 124995 128200 133328 153840 160250 166660 192300 199992 208325 240375 249990 256400 320500 333320 384600 399984 416650 480750 499980 624975 641000 666640 769200 833300 961500 999960 1041625 1249950 1282000 1666600 1923000 1999920 2083250 2499900 3124875 3333200 3846000 4166500 4999800 6249750 8333000 9999600 12499500 16666000 24999000 49998000