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49993216 = 297132937
BaseRepresentation
bin1011111010110…
…1011000000000
310111001220210121
42332231120000
5100244240331
64543310024
71144635550
oct276553000
9114056717
1049993216
1126246709
12148ab314
13a4852b0
1468d5160
1545c7c11
hex2fad600

49993216 has 160 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 18579456.

The previous prime is 49993211. The next prime is 49993271. The reversal of 49993216 is 61239994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49993211) 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, 1351150 + ... + 1351186.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 249993216 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 49993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

49993216 is an abundant number, since it is smaller than the sum of its proper divisors (80623424).

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

49993216 is a wasteful number, since it uses less digits than its factorization.

49993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its digits is 104976, while the sum is 43.

The square root of 49993216 is about 7070.5880943525. The cubic root of 49993216 is about 368.3864874640.

The spelling of 49993216 in words is "forty-nine million, nine hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 37 52 56 58 64 74 91 104 112 116 128 148 182 203 208 224 232 256 259 296 364 377 406 416 448 464 481 512 518 592 728 754 812 832 896 928 962 1036 1073 1184 1456 1508 1624 1664 1792 1856 1924 2072 2146 2368 2639 2912 3016 3248 3328 3367 3584 3712 3848 4144 4292 4736 5278 5824 6032 6496 6656 6734 7424 7511 7696 8288 8584 9472 10556 11648 12064 12992 13468 13949 14848 15022 15392 16576 17168 18944 21112 23296 24128 25984 26936 27898 30044 30784 33152 34336 42224 46592 48256 51968 53872 55796 60088 61568 66304 68672 84448 96512 97643 103936 107744 111592 120176 123136 132608 137344 168896 193024 195286 215488 223184 240352 246272 274688 337792 390572 430976 446368 480704 549376 675584 781144 861952 892736 961408 1351168 1562288 1723904 1785472 1922816 3124576 3570944 3845632 6249152 7141888 12498304 24996608 49993216