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2058490440 = 233255718029
BaseRepresentation
bin111101010110010…
…0001001001001000
312022110102011000200
41322230201021020
513203433143230
6540132332200
7102003610566
oct17254411110
95273364020
102058490440
11966a67376
12495474060
1326a6161a6
14157562a36
15c0ab8160
hex7ab21248

2058490440 has 48 divisors (see below), whose sum is σ = 6690095100. Its totient is φ = 548930688.

The previous prime is 2058490417. The next prime is 2058490481. The reversal of 2058490440 is 440948502.

2058490440 is a `hidden beast` number, since 205 + 8 + 4 + 9 + 0 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1890684324 + 167806116 = 43482^2 + 12954^2 .

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 = 2058490395 and 2058490404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2858655 + ... + 2859374.

Almost surely, 22058490440 is an apocalyptic number.

2058490440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058490440 is an abundant number, since it is smaller than the sum of its proper divisors (4631604660).

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

2058490440 is a wasteful number, since it uses less digits than its factorization.

2058490440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718046 (or 5718039 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2058490440 is about 45370.5900336330. The cubic root of 2058490440 is about 1272.0854487512.

The spelling of 2058490440 in words is "two billion, fifty-eight million, four hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5718029 11436058 17154087 22872116 28590145 34308174 45744232 51462261 57180290 68616348 85770435 102924522 114360580 137232696 171540870 205849044 228721160 257311305 343081740 411698088 514622610 686163480 1029245220 2058490440