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49998816 = 2533721181
BaseRepresentation
bin1011111010111…
…0101111100000
310111002012111000
42332232233200
5100244430231
64543352000
71144661100
oct276565740
9114065430
1049998816
112624a93a
12148b2600
13a4879ca
1468d7200
1545c96e6
hex2faebe0

49998816 has 144 divisors (see below), whose sum is σ = 169782480. Its totient is φ = 14273280.

The previous prime is 49998811. The next prime is 49998821. The reversal of 49998816 is 61889994.

It is an interprime number because it is at equal distance from previous prime (49998811) and next prime (49998821).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49998811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41746 + ... + 42926.

It is an arithmetic number, because the mean of its divisors is an integer number (1179045).

Almost surely, 249998816 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 49998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84891240).

49998816 is an abundant number, since it is smaller than the sum of its proper divisors (119783664).

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

49998816 is a wasteful number, since it uses less digits than its factorization.

49998816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1193 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 49998816 is about 7070.9840899269. The cubic root of 49998816 is about 368.4002419122.

The spelling of 49998816 in words is "forty-nine million, nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1181 1323 1512 1568 1764 2016 2352 2362 2646 3024 3528 3543 4704 4724 5292 6048 7056 7086 8267 9448 10584 10629 14112 14172 16534 18896 21168 21258 24801 28344 31887 33068 37792 42336 42516 49602 56688 57869 63774 66136 74403 85032 99204 113376 115738 127548 132272 148806 170064 173607 198408 223209 231476 255096 264544 297612 340128 347214 396816 446418 462952 510192 520821 595224 694428 793632 892836 925904 1020384 1041642 1190448 1388856 1562463 1785672 1851808 2083284 2380896 2777712 3124926 3571344 4166568 5555424 6249852 7142688 8333136 12499704 16666272 24999408 49998816