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49792428 = 223372972
BaseRepresentation
bin1011110111110…
…0010110101100
310110200201101000
42331330112230
5100221324203
64535120300
71143141300
oct275742654
9113621330
1049792428
1126119874
1214813090
13a414a9a
146881d00
1545884a3
hex2f7c5ac

49792428 has 108 divisors (see below), whose sum is σ = 151731720. Its totient is φ = 14079744.

The previous prime is 49792427. The next prime is 49792459. The reversal of 49792428 is 82429794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×497924282 = 4958571772270368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49792423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 513276 + ... + 513372.

Almost surely, 249792428 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 49792428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75865860).

49792428 is an abundant number, since it is smaller than the sum of its proper divisors (101939292).

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

49792428 is a wasteful number, since it uses less digits than its factorization.

49792428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 109 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49792428 is about 7056.3749900356. The cubic root of 49792428 is about 367.8926415719.

The spelling of 49792428 in words is "forty-nine million, seven hundred ninety-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 97 98 108 126 147 189 194 196 252 291 294 378 388 441 582 588 679 756 873 882 1164 1323 1358 1746 1764 2037 2619 2646 2716 3492 4074 4753 5238 5292 6111 8148 9409 9506 10476 12222 14259 18333 18818 19012 24444 28227 28518 36666 37636 42777 56454 57036 65863 73332 84681 85554 112908 128331 131726 169362 171108 197589 254043 256662 263452 338724 395178 461041 508086 513324 592767 790356 922082 1016172 1185534 1383123 1778301 1844164 2371068 2766246 3556602 4149369 5532492 7113204 8298738 12448107 16597476 24896214 49792428