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49225968 = 2435111151
BaseRepresentation
bin1011101111001…
…0000011110000
310102121221100000
42323302003300
5100100212333
64515030000
71135261641
oct273620360
9112557300
1049225968
1125872220
121459b300
13a276cbc
1467756c8
1544c5713
hex2ef20f0

49225968 has 120 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 14904000.

The previous prime is 49225961. The next prime is 49226011. The reversal of 49225968 is 86952294.

49225968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49225961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42193 + ... + 43343.

Almost surely, 249225968 is an apocalyptic number.

49225968 is a gapful number since it is divisible by the number (48) 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 49225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

49225968 is an abundant number, since it is smaller than the sum of its proper divisors (106764048).

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

49225968 is a wasteful number, since it uses less digits than its factorization.

49225968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1167 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 49225968 is about 7016.1220057807. The cubic root of 49225968 is about 366.4922160039.

The spelling of 49225968 in words is "forty-nine million, two hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1151 1188 1296 1584 1782 1944 2302 2376 2673 3453 3564 3888 4604 4752 5346 6906 7128 9208 10359 10692 12661 13812 14256 18416 20718 21384 25322 27624 31077 37983 41436 42768 50644 55248 62154 75966 82872 93231 101288 113949 124308 151932 165744 186462 202576 227898 248616 279693 303864 341847 372924 455796 497232 559386 607728 683694 745848 911592 1025541 1118772 1367388 1491696 1823184 2051082 2237544 2734776 3076623 4102164 4475088 5469552 6153246 8204328 12306492 16408656 24612984 49225968