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49816305 = 32571121307
BaseRepresentation
bin1011111000001…
…0001011110001
310110201221010100
42332002023301
5100223110210
64535423013
71143301020
oct276021361
9113657110
1049816305
1126135800
1214824a69
13a422906
14688a8b7
1545905c0
hex2f822f1

49816305 has 72 divisors (see below), whose sum is σ = 108553536. Its totient is φ = 20687040.

The previous prime is 49816297. The next prime is 49816337. The reversal of 49816305 is 50361894.

49816305 is a `hidden beast` number, since 498 + 163 + 0 + 5 = 666.

49816305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49816305 - 23 = 49816297 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 49816305.

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 71 ways as a sum of consecutive naturals, for example, 37462 + ... + 38768.

It is an arithmetic number, because the mean of its divisors is an integer number (1507688).

Almost surely, 249816305 is an apocalyptic number.

49816305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49816305 is an abundant number, since it is smaller than the sum of its proper divisors (58737231).

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

49816305 is a wasteful number, since it uses less digits than its factorization.

49816305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 49816305 is about 7058.0666616291. The cubic root of 49816305 is about 367.9514374521.

The spelling of 49816305 in words is "forty-nine million, eight hundred sixteen thousand, three hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 693 847 1089 1155 1307 1815 2541 3465 3921 4235 5445 6535 7623 9149 11763 12705 14377 19605 27447 38115 43131 45745 58815 71885 82341 100639 129393 137235 158147 215655 301917 411705 474441 503195 646965 790735 905751 1107029 1423323 1509585 2372205 3321087 4528755 5535145 7116615 9963261 16605435 49816305