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49678944 = 2537259179
BaseRepresentation
bin1011110110000…
…0101001100000
310110110221200220
42331200221200
5100204211234
64532443040
71142156400
oct275405140
9113427626
1049678944
1126051587
1214779480
13a3a5233
146852800
154564a49
hex2f60a60

49678944 has 144 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 13875456.

The previous prime is 49678933. The next prime is 49678961. The reversal of 49678944 is 44987694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277447 + ... + 277625.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 249678944 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 49678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

49678944 is an abundant number, since it is smaller than the sum of its proper divisors (105452256).

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

49678944 is a wasteful number, since it uses less digits than its factorization.

49678944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 49678944 is about 7048.3291637097. The cubic root of 49678944 is about 367.6129358119.

The spelling of 49678944 in words is "forty-nine million, six hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 59 84 96 98 112 118 147 168 177 179 196 224 236 294 336 354 358 392 413 472 537 588 672 708 716 784 826 944 1074 1176 1239 1253 1416 1432 1568 1652 1888 2148 2352 2478 2506 2832 2864 2891 3304 3759 4296 4704 4956 5012 5664 5728 5782 6608 7518 8592 8673 8771 9912 10024 10561 11564 13216 15036 17184 17346 17542 19824 20048 21122 23128 26313 30072 31683 34692 35084 39648 40096 42244 46256 52626 60144 63366 69384 70168 73927 84488 92512 105252 120288 126732 138768 140336 147854 168976 210504 221781 253464 277536 280672 295708 337952 421008 443562 506928 517489 591416 842016 887124 1013856 1034978 1182832 1552467 1774248 2069956 2365664 3104934 3548496 4139912 6209868 7096992 8279824 12419736 16559648 24839472 49678944