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49652820 = 223257157251
BaseRepresentation
bin1011110101101…
…0010001010100
310110102121212100
42331122101110
5100202342240
64532122100
71142020260
oct275322124
9113377770
1049652820
1126033998
1214766330
13a396389
1468470a0
15455be30
hex2f5a454

49652820 has 144 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 11232000.

The previous prime is 49652803. The next prime is 49652839. The reversal of 49652820 is 2825694.

It is a happy number.

49652820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197695 + ... + 197945.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752).

Almost surely, 249652820 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 49652820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).

49652820 is an abundant number, since it is smaller than the sum of its proper divisors (124263468).

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

49652820 is a wasteful number, since it uses less digits than its factorization.

49652820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49652820 is about 7046.4757148521. The cubic root of 49652820 is about 367.5484872856.

The spelling of 49652820 in words is "forty-nine million, six hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 157 180 210 251 252 314 315 420 471 502 628 630 753 785 942 1004 1099 1255 1260 1413 1506 1570 1757 1884 2198 2259 2355 2510 2826 3012 3140 3297 3514 3765 4396 4518 4710 5020 5271 5495 5652 6594 7028 7065 7530 8785 9036 9420 9891 10542 10990 11295 13188 14130 15060 15813 16485 17570 19782 21084 21980 22590 26355 28260 31626 32970 35140 39407 39564 45180 49455 52710 63252 65940 78814 79065 98910 105420 118221 157628 158130 197035 197820 236442 275849 316260 354663 394070 472884 551698 591105 709326 788140 827547 1103396 1182210 1379245 1418652 1655094 1773315 2364420 2482641 2758490 3310188 3546630 4137735 4965282 5516980 7093260 8275470 9930564 12413205 16550940 24826410 49652820