Search a number
-
+
2058352992 = 253319125387
BaseRepresentation
bin111101010101111…
…1111100101100000
312022110011011111000
41322223333211200
513203414243432
6540125352000
7102002466063
oct17253774540
95273134430
102058352992
11966983083
12495408600
1326a598767
141575288da
15c0a8c57c
hex7aaff960

2058352992 has 96 divisors (see below), whose sum is σ = 6319555200. Its totient is φ = 650001024.

The previous prime is 2058352963. The next prime is 2058352993. The reversal of 2058352992 is 2992538502.

2058352992 is a `hidden beast` number, since 205 + 8 + 352 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058352993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46278 + ... + 79109.

It is an arithmetic number, because the mean of its divisors is an integer number (65828700).

Almost surely, 22058352992 is an apocalyptic number.

It is an amenable number.

2058352992 is an abundant number, since it is smaller than the sum of its proper divisors (4261202208).

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

2058352992 is a wasteful number, since it uses less digits than its factorization.

2058352992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125425 (or 125411 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2058352992 is about 45369.0752826195. The cubic root of 2058352992 is about 1272.0571352050.

The spelling of 2058352992 in words is "two billion, fifty-eight million, three hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 125387 250774 376161 501548 752322 1003096 1128483 1504644 2006192 2256966 2382353 3009288 3385449 4012384 4513932 4764706 6018576 6770898 7147059 9027864 9529412 12037152 13541796 14294118 18055728 19058824 21441177 27083592 28588236 36111456 38117648 42882354 54167184 57176472 64323531 76235296 85764708 108334368 114352944 128647062 171529416 228705888 257294124 343058832 514588248 686117664 1029176496 2058352992