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49764312 = 23321379673
BaseRepresentation
bin1011110111010…
…1011111011000
310110122021210200
42331311133120
5100214424222
64534342200
71142663313
oct275653730
9113567720
1049764312
11260aa734
12147ba960
13a405050
14687597a
15457eeac
hex2f757d8

49764312 has 96 divisors (see below), whose sum is σ = 147201600. Its totient is φ = 15095808.

The previous prime is 49764307. The next prime is 49764313. The reversal of 49764312 is 21346794.

49764312 is a `hidden beast` number, since 4 + 9 + 7 + 643 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49764313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73608 + ... + 74280.

It is an arithmetic number, because the mean of its divisors is an integer number (1533350).

Almost surely, 249764312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49764312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73600800).

49764312 is an abundant number, since it is smaller than the sum of its proper divisors (97437288).

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

49764312 is a wasteful number, since it uses less digits than its factorization.

49764312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 770 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 49764312 is about 7054.3824676580. The cubic root of 49764312 is about 367.8233832701.

The spelling of 49764312 in words is "forty-nine million, seven hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 673 711 936 948 1027 1346 1422 1896 2019 2054 2692 2844 3081 4038 4108 5384 5688 6057 6162 8076 8216 8749 9243 12114 12324 16152 17498 18486 24228 24648 26247 34996 36972 48456 52494 53167 69992 73944 78741 104988 106334 157482 159501 209976 212668 314964 319002 425336 478503 629928 638004 691171 957006 1276008 1382342 1914012 2073513 2764684 3828024 4147026 5529368 6220539 8294052 12441078 16588104 24882156 49764312