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49018140 = 223251783193
BaseRepresentation
bin1011101011111…
…1010100011100
310102020101020200
42322333110130
5100022040030
64510343500
71133435013
oct272772434
9112211220
1049018140
1125740066
12144bab90
13a203522
14671da7a
154483d60
hex2ebf51c

49018140 has 144 divisors (see below), whose sum is σ = 160157088. Its totient is φ = 12091392.

The previous prime is 49018139. The next prime is 49018141. The reversal of 49018140 is 4181094.

It is an interprime number because it is at equal distance from previous prime (49018139) and next prime (49018141).

It is a super-3 number, since 3×490181403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49018141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253884 + ... + 254076.

It is an arithmetic number, because the mean of its divisors is an integer number (1112202).

Almost surely, 249018140 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 49018140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80078544).

49018140 is an abundant number, since it is smaller than the sum of its proper divisors (111138948).

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

49018140 is a wasteful number, since it uses less digits than its factorization.

49018140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 49018140 is about 7001.2955943882. The cubic root of 49018140 is about 365.9757217614.

It can be divided in two parts, 4901 and 8140, that added together give a triangular number (13041 = T161).

The spelling of 49018140 in words is "forty-nine million, eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 83 85 90 102 153 166 170 180 193 204 249 255 306 332 340 386 415 498 510 579 612 747 765 772 830 965 996 1020 1158 1245 1411 1494 1530 1660 1737 1930 2316 2490 2822 2895 2988 3060 3281 3474 3735 3860 4233 4980 5644 5790 6562 6948 7055 7470 8466 8685 9843 11580 12699 13124 14110 14940 16019 16405 16932 17370 19686 21165 25398 28220 29529 32038 32810 34740 39372 42330 48057 49215 50796 59058 63495 64076 65620 80095 84660 96114 98430 118116 126990 144171 147645 160190 192228 196860 240285 253980 272323 288342 295290 320380 480570 544646 576684 590580 720855 816969 961140 1089292 1361615 1441710 1633938 2450907 2723230 2883420 3267876 4084845 4901814 5446460 8169690 9803628 12254535 16339380 24509070 49018140