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49987854 = 2347172593
BaseRepresentation
bin1011111010110…
…0000100001110
310111001122110000
42332230010032
5100244102404
64543225130
71144614120
oct276540416
9114048400
1049987854
1126242684
12148a81a6
13a482a17
1468d3210
1545c6339
hex2fac10e

49987854 has 80 divisors (see below), whose sum is σ = 135593568. Its totient is φ = 13436928.

The previous prime is 49987843. The next prime is 49987877. The reversal of 49987854 is 45878994.

49987854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

49987854 is a modest number, since divided by 7854 gives 4998 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 49987854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17982 + ... + 20574.

Almost surely, 249987854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49987854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67796784).

49987854 is an abundant number, since it is smaller than the sum of its proper divisors (85605714).

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

49987854 is a wasteful number, since it uses less digits than its factorization.

49987854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 49987854 is about 7070.2089078046. The cubic root of 49987854 is about 368.3733166172.

The spelling of 49987854 in words is "forty-nine million, nine hundred eighty-seven thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2593 2754 3213 5186 6426 7779 9639 15558 18151 19278 23337 36302 44081 46674 54453 70011 88162 108906 132243 140022 163359 210033 264486 308567 326718 396729 420066 490077 617134 793458 925701 980154 1190187 1470231 1851402 2380374 2777103 2940462 3570561 5554206 7141122 8331309 16662618 24993927 49987854