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49991616 = 2632229379
BaseRepresentation
bin1011111010110…
…0111111000000
310111001211121100
42332230333000
5100244212431
64543254400
71144631103
oct276547700
9114054540
1049991616
1126245494
12148aa400
13a48464c
1468d473a
1545c74e6
hex2facfc0

49991616 has 84 divisors (see below), whose sum is σ = 144297400. Its totient is φ = 16547328.

The previous prime is 49991609. The next prime is 49991629. The reversal of 49991616 is 61619994.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131715 + ... + 132093.

Almost surely, 249991616 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 49991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72148700).

49991616 is an abundant number, since it is smaller than the sum of its proper divisors (94305784).

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

49991616 is a wasteful number, since it uses less digits than its factorization.

49991616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 49991616 is about 7070.4749486863. The cubic root of 49991616 is about 368.3825574330.

The spelling of 49991616 in words is "forty-nine million, nine hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 379 458 576 687 758 916 1137 1374 1516 1832 2061 2274 2748 3032 3411 3664 4122 4548 5496 6064 6822 7328 8244 9096 10992 12128 13644 14656 16488 18192 21984 24256 27288 32976 36384 43968 54576 65952 72768 86791 109152 131904 173582 218304 260373 347164 520746 694328 781119 1041492 1388656 1562238 2082984 2777312 3124476 4165968 5554624 6248952 8331936 12497904 16663872 24995808 49991616