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49011318 = 2344147157
BaseRepresentation
bin1011101011110…
…1101001110110
310102020000220000
42322331221312
5100021330233
64510252130
71133406066
oct272755166
9112200800
1049011318
1125735a24
12144b7046
13a2003a5
14671b3a6
154481d13
hex2ebda76

49011318 has 80 divisors (see below), whose sum is σ = 115625664. Its totient is φ = 15500160.

The previous prime is 49011307. The next prime is 49011331. The reversal of 49011318 is 81311094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49011291 and 49011300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312096 + ... + 312252.

Almost surely, 249011318 is an apocalyptic number.

49011318 is the 4428-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49011318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57812832).

49011318 is an abundant number, since it is smaller than the sum of its proper divisors (66614346).

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

49011318 is a wasteful number, since it uses less digits than its factorization.

49011318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 49011318 is about 7000.8083818942. The cubic root of 49011318 is about 365.9587429980.

The spelling of 49011318 in words is "forty-nine million, eleven thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 47 54 81 82 94 123 141 157 162 246 282 314 369 423 471 738 846 942 1107 1269 1413 1927 2214 2538 2826 3321 3807 3854 4239 5781 6437 6642 7379 7614 8478 11562 12717 12874 14758 17343 19311 22137 25434 34686 38622 44274 52029 57933 66411 104058 115866 132822 156087 173799 199233 302539 312174 347598 398466 521397 597699 605078 907617 1042794 1195398 1815234 2722851 5445702 8168553 16337106 24505659 49011318