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49195728 = 2433263433
BaseRepresentation
bin1011101110101…
…0101011010000
310102120101212000
42323222223100
5100043230403
64514234000
71135104531
oct273525320
9112511760
1049195728
112585152a
1214585900
13a2662ca
146768688
1544bb7a3
hex2eeaad0

49195728 has 80 divisors (see below), whose sum is σ = 142074240. Its totient is φ = 16298496.

The previous prime is 49195723. The next prime is 49195753. The reversal of 49195728 is 82759194.

49195728 is a `hidden beast` number, since 491 + 95 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49195721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113400 + ... + 113832.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 249195728 is an apocalyptic number.

49195728 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 49195728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71037120).

49195728 is an abundant number, since it is smaller than the sum of its proper divisors (92878512).

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

49195728 is a wasteful number, since it uses less digits than its factorization.

49195728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 49195728 is about 7013.9666380729. The cubic root of 49195728 is about 366.4171540312.

The spelling of 49195728 in words is "forty-nine million, one hundred ninety-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 263 432 433 526 789 866 1052 1299 1578 1732 2104 2367 2598 3156 3464 3897 4208 4734 5196 6312 6928 7101 7794 9468 10392 11691 12624 14202 15588 18936 20784 23382 28404 31176 37872 46764 56808 62352 93528 113616 113879 187056 227758 341637 455516 683274 911032 1024911 1366548 1822064 2049822 2733096 3074733 4099644 5466192 6149466 8199288 12298932 16398576 24597864 49195728