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49720104 = 23327217829
BaseRepresentation
bin1011110110101…
…0101100101000
310110120001011100
42331222230220
5100212020404
64533401400
71142420400
oct275525450
9113501140
1049720104
112607a4a5
1214799260
13a3baba5
146863800
154571d39
hex2f6ab28

49720104 has 144 divisors (see below), whose sum is σ = 166058100. Its totient is φ = 13353984.

The previous prime is 49720079. The next prime is 49720109. The reversal of 49720104 is 40102794.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 1695204 = 6930^2 + 1302^2 .

It is a super-4 number, since 4×497201044 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49720109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59562 + ... + 60390.

Almost surely, 249720104 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 49720104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83029050).

49720104 is an abundant number, since it is smaller than the sum of its proper divisors (116337996).

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

49720104 is a wasteful number, since it uses less digits than its factorization.

49720104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 49720104 is about 7051.2484001062. The cubic root of 49720104 is about 367.7144326794.

Adding to 49720104 its reverse (40102794), we get a palindrome (89822898).

The spelling of 49720104 in words is "forty-nine million, seven hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 829 833 882 952 1071 1176 1224 1428 1658 1666 1764 2142 2487 2499 2856 3316 3332 3528 4284 4974 4998 5803 6632 6664 7461 7497 8568 9948 9996 11606 14093 14922 14994 17409 19896 19992 23212 28186 29844 29988 34818 40621 42279 46424 52227 56372 59688 59976 69636 81242 84558 98651 104454 112744 121863 126837 139272 162484 169116 197302 208908 243726 253674 295953 324968 338232 365589 394604 417816 487452 507348 591906 690557 731178 789208 887859 974904 1014696 1183812 1381114 1462356 1775718 2071671 2367624 2762228 2924712 3551436 4143342 5524456 6215013 7102872 8286684 12430026 16573368 24860052 49720104