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49105364 = 227113137139
BaseRepresentation
bin1011101101010…
…0100111010100
310102101210220012
42323110213110
5100032332424
64512255352
71134250220
oct273244724
9112353805
1049105364
112579a650
1214541558
13a234139
146743780
15449eb0e
hex2ed49d4

49105364 has 96 divisors (see below), whose sum is σ = 114401280. Its totient is φ = 17884800.

The previous prime is 49105339. The next prime is 49105369. The reversal of 49105364 is 46350194.

It is a super-2 number, since 2×491053642 = 4822673547144992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49105364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49105369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353207 + ... + 353345.

It is an arithmetic number, because the mean of its divisors is an integer number (1191680).

Almost surely, 249105364 is an apocalyptic number.

49105364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49105364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200640).

49105364 is an abundant number, since it is smaller than the sum of its proper divisors (65295916).

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

49105364 is a wasteful number, since it uses less digits than its factorization.

49105364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 49105364 is about 7007.5219585814. The cubic root of 49105364 is about 366.1926683237.

The spelling of 49105364 in words is "forty-nine million, one hundred five thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 31 37 44 62 74 77 124 139 148 154 217 259 278 308 341 407 434 518 556 682 814 868 973 1036 1147 1364 1529 1628 1946 2294 2387 2849 3058 3892 4309 4588 4774 5143 5698 6116 8029 8618 9548 10286 10703 11396 12617 16058 17236 20572 21406 25234 30163 32116 36001 42812 47399 50468 56573 60326 72002 88319 94798 113146 120652 144004 159433 176638 189596 226292 318866 331793 353276 396011 637732 663586 792022 1116031 1327172 1584044 1753763 2232062 3507526 4464124 7015052 12276341 24552682 49105364