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49691088 = 2432615657
BaseRepresentation
bin1011110110001…
…1100111010000
310110111120100200
42331203213100
5100210103323
64533015200
71142236656
oct275434720
9113446320
1049691088
112605a717
1214784500
13a3aa915
146856dd6
154568443
hex2f639d0

49691088 has 60 divisors (see below), whose sum is σ = 141370788. Its totient is φ = 16289280.

The previous prime is 49691087. The next prime is 49691113. The reversal of 49691088 is 88019694.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 46621584 = 1752^2 + 6828^2 .

It is a super-3 number, since 3×496910883 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49691087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5956 + ... + 11612.

Almost surely, 249691088 is an apocalyptic number.

49691088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49691088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70685394).

49691088 is an abundant number, since it is smaller than the sum of its proper divisors (91679700).

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

49691088 is a wasteful number, since it uses less digits than its factorization.

49691088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 49691088 is about 7049.1905918339. The cubic root of 49691088 is about 367.6428876548.

The spelling of 49691088 in words is "forty-nine million, six hundred ninety-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 5657 8784 11314 16971 22628 33942 45256 50913 67884 90512 101826 135768 203652 271536 345077 407304 690154 814608 1035231 1380308 2070462 2760616 3105693 4140924 5521232 6211386 8281848 12422772 16563696 24845544 49691088