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4893982128 = 243279750053
BaseRepresentation
bin1001000111011010…
…00011110110110000
3110122001220001101100
410203231003312300
540010324412003
62125343004400
7232164106320
oct44355036660
913561801340
104893982128
112091586232
12b46b99700
135ccbbbc19
14345d85280
151d99b3ba3
hex123b43db0

4893982128 has 120 divisors (see below), whose sum is σ = 15814661408. Its totient is φ = 1383837696.

The previous prime is 4893982127. The next prime is 4893982141. The reversal of 4893982128 is 8212893984.

4893982128 is a `hidden beast` number, since 489 + 39 + 8 + 2 + 128 = 666.

It is a super-2 number, since 2×48939821282 = 47902122138366816768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4893982127) 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, 72750 + ... + 122802.

Almost surely, 24893982128 is an apocalyptic number.

4893982128 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 4893982128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907330704).

4893982128 is an abundant number, since it is smaller than the sum of its proper divisors (10920679280).

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

4893982128 is a wasteful number, since it uses less digits than its factorization.

4893982128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50171 (or 50162 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4893982128 is about 69957.0019940821. The cubic root of 4893982128 is about 1697.8036373876.

The spelling of 4893982128 in words is "four billion, eight hundred ninety-three million, nine hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1552 1746 2037 2328 2716 3492 4074 4656 5432 6111 6984 8148 10864 12222 13968 16296 24444 32592 48888 50053 97776 100106 150159 200212 300318 350371 400424 450477 600636 700742 800848 900954 1051113 1201272 1401484 1801908 2102226 2402544 2802968 3153339 3603816 4204452 4855141 5605936 6306678 7207632 8408904 9710282 12613356 14565423 16817808 19420564 25226712 29130846 33985987 38841128 43696269 50453424 58261692 67971974 77682256 87392538 101957961 116523384 135943948 174785076 203915922 233046768 271887896 305873883 349570152 407831844 543775792 611747766 699140304 815663688 1223495532 1631327376 2446991064 4893982128