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49910742 = 235717863
BaseRepresentation
bin1011111001100…
…1001111010110
310110220201200000
42332121033112
5100234120432
64541432130
71144143240
oct276311726
9113821600
1049910742
112619a752
121486b646
13a4568ab
1468b3090
1545ad57c
hex2f993d6

49910742 has 96 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 13405824.

The previous prime is 49910741. The next prime is 49910747. The reversal of 49910742 is 24701994.

It is a junction number, because it is equal to n+sod(n) for n = 49910697 and 49910706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49910741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57403 + ... + 58265.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 249910742 is an apocalyptic number.

49910742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 49910742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

49910742 is an abundant number, since it is smaller than the sum of its proper divisors (85951530).

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

49910742 is a wasteful number, since it uses less digits than its factorization.

49910742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 49910742 is about 7064.7534988844. The cubic root of 49910742 is about 368.1837997649.

The spelling of 49910742 in words is "forty-nine million, nine hundred ten thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 863 918 1071 1134 1377 1701 1726 2142 2589 2754 3213 3402 4131 5178 6041 6426 7767 8262 9639 12082 14671 15534 18123 19278 23301 28917 29342 36246 44013 46602 54369 57834 69903 88026 102697 108738 132039 139806 163107 205394 209709 264078 308091 326214 396117 419418 489321 616182 792234 924273 978642 1188351 1467963 1848546 2376702 2772819 2935926 3565053 5545638 7130106 8318457 16636914 24955371 49910742