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49914306 = 23413137173
BaseRepresentation
bin1011111001101…
…0000111000010
310110220220120000
42332122013002
5100234224211
64541500430
71144156521
oct276320702
9113826500
1049914306
11261a23a2
1214871716
13a4583c0
1468b44b8
1545ae656
hex2f9a1c2

49914306 has 80 divisors (see below), whose sum is σ = 122028984. Its totient is φ = 15158016.

The previous prime is 49914281. The next prime is 49914317. The reversal of 49914306 is 60341994.

49914306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45441081 + 4473225 = 6741^2 + 2115^2 .

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, 288436 + ... + 288608.

Almost surely, 249914306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49914306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61014492).

49914306 is an abundant number, since it is smaller than the sum of its proper divisors (72114678).

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

49914306 is a wasteful number, since it uses less digits than its factorization.

49914306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 49914306 is about 7065.0057324818. The cubic root of 49914306 is about 368.1925632480.

The spelling of 49914306 in words is "forty-nine million, nine hundred fourteen thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 137 162 173 234 274 346 351 411 519 702 822 1038 1053 1233 1557 1781 2106 2249 2466 3114 3562 3699 4498 4671 5343 6747 7398 9342 10686 11097 13494 14013 16029 20241 22194 23701 28026 32058 40482 47402 48087 60723 71103 96174 121446 142206 144261 182169 213309 288522 308113 364338 426618 616226 639927 924339 1279854 1848678 1919781 2773017 3839562 5546034 8319051 16638102 24957153 49914306