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49998900 = 22352729821
BaseRepresentation
bin1011111010111…
…0110000110100
310111002012121010
42332232300310
5100244431100
64543352220
71144661250
oct276566064
9114065533
1049998900
112624aa06
12148b2670
13a487a63
1468d7260
1545c9750
hex2faec34

49998900 has 144 divisors (see below), whose sum is σ = 171239040. Its totient is φ = 11020800.

The previous prime is 49998869. The next prime is 49998911. The reversal of 49998900 is 989994.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49998900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60490 + ... + 61310.

It is an arithmetic number, because the mean of its divisors is an integer number (1189160).

Almost surely, 249998900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49998900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85619520).

49998900 is an abundant number, since it is smaller than the sum of its proper divisors (121240140).

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

49998900 is a wasteful number, since it uses less digits than its factorization.

49998900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 49998900 is about 7070.9900296917. The cubic root of 49998900 is about 368.4004482211.

It can be divided in two parts, 499 and 98900, that added together give a palindrome (99399).

The spelling of 49998900 in words is "forty-nine million, nine hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 821 870 1015 1050 1218 1450 1642 1740 2030 2100 2175 2436 2463 2900 3045 3284 4060 4105 4350 4926 5075 5747 6090 8210 8700 9852 10150 11494 12180 12315 15225 16420 17241 20300 20525 22988 23809 24630 28735 30450 34482 41050 47618 49260 57470 60900 61575 68964 71427 82100 86205 95236 114940 119045 123150 142854 143675 166663 172410 238090 246300 285708 287350 333326 344820 357135 431025 476180 499989 574700 595225 666652 714270 833315 862050 999978 1190450 1428540 1666630 1724100 1785675 1999956 2380900 2499945 3333260 3571350 4166575 4999890 7142700 8333150 9999780 12499725 16666300 24999450 49998900