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49930128 = 2433412819
BaseRepresentation
bin1011111001110…
…1111110010000
310110221201021000
42332131332100
5100240231003
64542102000
71144253613
oct276357620
9113851230
1049930128
1126203276
121487a900
13a462671
1468ba17a
1545b41a3
hex2f9df90

49930128 has 80 divisors (see below), whose sum is σ = 146865600. Its totient is φ = 16231680.

The previous prime is 49930123. The next prime is 49930129. The reversal of 49930128 is 82103994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49930092 and 49930101.

It is not an unprimeable number, because it can be changed into a prime (49930123) 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, 16303 + ... + 19121.

It is an arithmetic number, because the mean of its divisors is an integer number (1835820).

Almost surely, 249930128 is an apocalyptic number.

49930128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49930128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432800).

49930128 is an abundant number, since it is smaller than the sum of its proper divisors (96935472).

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

49930128 is a wasteful number, since it uses less digits than its factorization.

49930128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49930128 is about 7066.1253880751. The cubic root of 49930128 is about 368.2314627658.

The spelling of 49930128 in words is "forty-nine million, nine hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2819 2952 4428 5638 5904 8457 8856 11276 16914 17712 22552 25371 33828 45104 50742 67656 76113 101484 115579 135312 152226 202968 231158 304452 346737 405936 462316 608904 693474 924632 1040211 1217808 1386948 1849264 2080422 2773896 3120633 4160844 5547792 6241266 8321688 12482532 16643376 24965064 49930128