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49399416 = 233311171223
BaseRepresentation
bin1011110001110…
…0011001111000
310102221202021000
42330130121320
5100121240131
64522445000
71136613423
oct274343170
9112852230
1049399416
1125980570
1214663760
13a307c31
1467bc9ba
15450bce6
hex2f1c678

49399416 has 128 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 14077440.

The previous prime is 49399409. The next prime is 49399417. The reversal of 49399416 is 61499394.

It is a super-2 number, since 2×493994162 = 4880604602282112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49399417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39781 + ... + 41003.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 249399416 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 49399416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

49399416 is an abundant number, since it is smaller than the sum of its proper divisors (109230984).

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

49399416 is a wasteful number, since it uses less digits than its factorization.

49399416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 49399416 is about 7028.4718111407. The cubic root of 49399416 is about 366.9221572882.

The spelling of 49399416 in words is "forty-nine million, three hundred ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1223 1224 1496 1683 1836 2244 2376 2446 3366 3669 3672 4488 4892 5049 6732 7338 9784 10098 11007 13453 13464 14676 20196 20791 22014 26906 29352 33021 40359 40392 41582 44028 53812 62373 66042 80718 83164 88056 107624 121077 124746 132084 161436 166328 187119 228701 242154 249492 264168 322872 363231 374238 457402 484308 498984 561357 686103 726462 748476 914804 968616 1122714 1372206 1452924 1496952 1829608 2058309 2245428 2744412 2905848 4116618 4490856 5488824 6174927 8233236 12349854 16466472 24699708 49399416