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49010000 = 245413229
BaseRepresentation
bin1011101011110…
…1010101010000
310102012222002012
42322331111100
5100021310000
64510242052
71133402204
oct272752520
9112188065
1049010000
1125734a36
12144b6328
13a1cc900
14671ab04
154481735
hex2ebd550

49010000 has 150 divisors (see below), whose sum is σ = 132918390. Its totient is φ = 17472000.

The previous prime is 49009999. The next prime is 49010041. The reversal of 49010000 is 1094.

It can be written as a sum of positive squares in 15 ways, for example, as 45535504 + 3474496 = 6748^2 + 1864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1689986 + ... + 1690014.

Almost surely, 249010000 is an apocalyptic number.

49010000 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 49010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66459195).

49010000 is an abundant number, since it is smaller than the sum of its proper divisors (83908390).

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

49010000 is a wasteful number, since it uses less digits than its factorization.

49010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 49010000 is about 7000.7142492749. The cubic root of 49010000 is about 365.9554625452.

Adding to 49010000 its reverse (1094), we get a palindrome (49011094).

The spelling of 49010000 in words is "forty-nine million, ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 125 130 145 169 200 208 232 250 260 290 325 338 377 400 464 500 520 580 625 650 676 725 754 845 1000 1040 1160 1250 1300 1352 1450 1508 1625 1690 1885 2000 2320 2500 2600 2704 2900 3016 3250 3380 3625 3770 4225 4901 5000 5200 5800 6032 6500 6760 7250 7540 8125 8450 9425 9802 10000 11600 13000 13520 14500 15080 16250 16900 18125 18850 19604 21125 24505 26000 29000 30160 32500 33800 36250 37700 39208 42250 47125 49010 58000 65000 67600 72500 75400 78416 84500 94250 98020 105625 122525 130000 145000 150800 169000 188500 196040 211250 235625 245050 290000 338000 377000 392080 422500 471250 490100 612625 754000 845000 942500 980200 1225250 1690000 1885000 1960400 2450500 3063125 3770000 4901000 6126250 9802000 12252500 24505000 49010000