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49793850 = 232521723283
BaseRepresentation
bin1011110111110…
…0101100111010
310110200210022200
42331330230322
5100221400400
64535131030
71143145401
oct275745472
9113623280
1049793850
112611a947
1214813a76
13a415622
146882638
154588b00
hex2f7cb3a

49793850 has 144 divisors (see below), whose sum is σ = 148329792. Its totient is φ = 11911680.

The previous prime is 49793837. The next prime is 49793857. The reversal of 49793850 is 5839794.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 49793796 and 49793805.

It is not an unprimeable number, because it can be changed into a prime (49793857) 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 71 ways as a sum of consecutive naturals, for example, 175809 + ... + 176091.

It is an arithmetic number, because the mean of its divisors is an integer number (1030068).

Almost surely, 249793850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49793850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74164896).

49793850 is an abundant number, since it is smaller than the sum of its proper divisors (98535942).

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

49793850 is a wasteful number, since it uses less digits than its factorization.

49793850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 49793850 is about 7056.4757492675. The cubic root of 49793850 is about 367.8961436999.

The spelling of 49793850 in words is "forty-nine million, seven hundred ninety-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 25 30 34 45 46 50 51 69 75 85 90 102 115 138 150 153 170 207 225 230 255 283 306 345 391 414 425 450 510 566 575 690 765 782 849 850 1035 1150 1173 1275 1415 1530 1698 1725 1955 2070 2346 2547 2550 2830 3450 3519 3825 3910 4245 4811 5094 5175 5865 6509 7038 7075 7650 8490 9622 9775 10350 11730 12735 13018 14150 14433 17595 19527 19550 21225 24055 25470 28866 29325 32545 35190 39054 42450 43299 48110 58581 58650 63675 65090 72165 86598 87975 97635 110653 117162 120275 127350 144330 162725 175950 195270 216495 221306 240550 292905 325450 331959 360825 432990 488175 553265 585810 663918 721650 976350 995877 1082475 1106530 1464525 1659795 1991754 2164950 2766325 2929050 3319590 4979385 5532650 8298975 9958770 16597950 24896925 49793850