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49742190 = 23251921531
BaseRepresentation
bin1011110111000…
…0000101101110
310110121011110100
42331300011232
5100213222230
64534051530
71142541651
oct275600556
9113534410
1049742190
1126095053
12147a9ba6
13a3c7c64
14686b898
154578660
hex2f7016e

49742190 has 72 divisors (see below), whose sum is σ = 136583928. Its totient is φ = 12558240.

The previous prime is 49742183. The next prime is 49742191. The reversal of 49742190 is 9124794.

It is a super-2 number, since 2×497421902 = 4948570931992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49742191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31725 + ... + 33255.

It is an arithmetic number, because the mean of its divisors is an integer number (1896999).

Almost surely, 249742190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49742190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68291964).

49742190 is an abundant number, since it is smaller than the sum of its proper divisors (86841738).

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

49742190 is a wasteful number, since it uses less digits than its factorization.

49742190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 49742190 is about 7052.8143318820. The cubic root of 49742190 is about 367.7688716829.

The spelling of 49742190 in words is "forty-nine million, seven hundred forty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1531 1710 1805 2166 3062 3249 3610 4593 5415 6498 7655 9186 10830 13779 15310 16245 22965 27558 29089 32490 45930 58178 68895 87267 137790 145445 174534 261801 290890 436335 523602 552691 872670 1105382 1309005 1658073 2618010 2763455 3316146 4974219 5526910 8290365 9948438 16580730 24871095 49742190