Search a number
-
+
49503696 = 24311295361
BaseRepresentation
bin1011110011010…
…1110111010000
310110011001022020
42330311313100
5100133104241
64525011440
71140526434
oct274656720
9113131266
1049503696
1125a41950
12146b3b80
13a343538
1468089c4
15452cb66
hex2f35dd0

49503696 has 160 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 13977600.

The previous prime is 49503679. The next prime is 49503697. The reversal of 49503696 is 69630594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49503697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811506 + ... + 811566.

It is an arithmetic number, because the mean of its divisors is an integer number (934092).

Almost surely, 249503696 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 49503696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

49503696 is an abundant number, since it is smaller than the sum of its proper divisors (99951024).

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

49503696 is a wasteful number, since it uses less digits than its factorization.

49503696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 49503696 is about 7035.8862981148. The cubic root of 49503696 is about 367.1801613539.

It can be divided in two parts, 4950 and 3696, that added together give a triangular number (8646 = T131).

The spelling of 49503696 in words is "forty-nine million, five hundred three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 53 58 61 66 87 88 106 116 122 132 159 174 176 183 212 232 244 264 318 319 348 366 424 464 488 528 583 636 638 671 696 732 848 957 976 1166 1272 1276 1342 1392 1464 1537 1749 1769 1914 2013 2332 2544 2552 2684 2928 3074 3233 3498 3538 3828 4026 4611 4664 5104 5307 5368 6148 6466 6996 7076 7656 8052 9222 9328 9699 10614 10736 12296 12932 13992 14152 15312 16104 16907 18444 19398 19459 21228 24592 25864 27984 28304 32208 33814 35563 36888 38796 38918 42456 50721 51728 58377 67628 71126 73776 77592 77836 84912 93757 101442 106689 116754 135256 142252 155184 155672 187514 202884 213378 233508 270512 281271 284504 311344 375028 405768 426756 467016 562542 569008 750056 811536 853512 934032 1031327 1125084 1500112 1707024 2062654 2250168 3093981 4125308 4500336 6187962 8250616 12375924 16501232 24751848 49503696