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49761216 = 263429331
BaseRepresentation
bin1011110111010…
…0101111000000
310110122010120000
42331310233000
5100214324331
64534320000
71142651301
oct275645700
9113563500
1049761216
11260a837a
12147b9000
13a40380b
1468747a8
15457e0e6
hex2f74bc0

49761216 has 140 divisors (see below), whose sum is σ = 153055320. Its totient is φ = 15966720.

The previous prime is 49761199. The next prime is 49761241. The reversal of 49761216 is 61216794.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150171 + ... + 150501.

Almost surely, 249761216 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 49761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527660).

49761216 is an abundant number, since it is smaller than the sum of its proper divisors (103294104).

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

49761216 is a wasteful number, since it uses less digits than its factorization.

49761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 49761216 is about 7054.1630261853. The cubic root of 49761216 is about 367.8157552815.

The spelling of 49761216 in words is "forty-nine million, seven hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 331 348 432 464 522 576 648 662 696 783 864 928 993 1044 1296 1324 1392 1566 1728 1856 1986 2088 2349 2592 2648 2784 2979 3132 3972 4176 4698 5184 5296 5568 5958 6264 7944 8352 8937 9396 9599 10592 11916 12528 15888 16704 17874 18792 19198 21184 23832 25056 26811 28797 31776 35748 37584 38396 47664 50112 53622 57594 63552 71496 75168 76792 86391 95328 107244 115188 142992 150336 153584 172782 190656 214488 230376 259173 285984 307168 345564 428976 460752 518346 571968 614336 691128 777519 857952 921504 1036692 1382256 1555038 1715904 1843008 2073384 2764512 3110076 4146768 5529024 6220152 8293536 12440304 16587072 24880608 49761216