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8050416 = 2431179193
BaseRepresentation
bin11110101101011011110000
3120011000002120
4132231123300
54030103131
6444314240
7125266413
oct36553360
916130076
108050416
1145a9440
122842980
13188b37a
1410d7b7a
15a90496
hex7ad6f0

8050416 has 80 divisors (see below), whose sum is σ = 23093760. Its totient is φ = 2396160.

The previous prime is 8050411. The next prime is 8050439. The reversal of 8050416 is 6140508.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050411) 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, 41616 + ... + 41808.

It is an arithmetic number, because the mean of its divisors is an integer number (288672).

Almost surely, 28050416 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 8050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546880).

8050416 is an abundant number, since it is smaller than the sum of its proper divisors (15043344).

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

8050416 is a wasteful number, since it uses less digits than its factorization.

8050416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8050416 is about 2837.3255012423. The cubic root of 8050416 is about 200.4192538503.

The spelling of 8050416 in words is "eight million, fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 193 237 264 316 386 474 528 579 632 772 869 948 1158 1264 1544 1738 1896 2123 2316 2607 3088 3476 3792 4246 4632 5214 6369 6952 8492 9264 10428 12738 13904 15247 16984 20856 25476 30494 33968 41712 45741 50952 60988 91482 101904 121976 167717 182964 243952 335434 365928 503151 670868 731856 1006302 1341736 2012604 2683472 4025208 8050416