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4058930640 = 243586319597
BaseRepresentation
bin1111000111101110…
…0101110111010000
3101110212121001002110
43301323211313100
531303041240030
61510432545320
7202404225012
oct36173456720
911425531073
104058930640
1117a3184736
129533b2240
134c8bb5a0b
142a70d41b2
1518b5161b0
hexf1ee5dd0

4058930640 has 80 divisors (see below), whose sum is σ = 12597907968. Its totient is φ = 1081072128.

The previous prime is 4058930639. The next prime is 4058930653. The reversal of 4058930640 is 460398504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 197322 + ... + 216918.

Almost surely, 24058930640 is an apocalyptic number.

4058930640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4058930640 is an abundant number, since it is smaller than the sum of its proper divisors (8538977328).

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

4058930640 is a wasteful number, since it uses less digits than its factorization.

4058930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20476 (or 20470 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4058930640 is about 63709.7374033201. The cubic root of 4058930640 is about 1595.1586258776.

The spelling of 4058930640 in words is "four billion, fifty-eight million, nine hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 863 1726 2589 3452 4315 5178 6904 8630 10356 12945 13808 17260 19597 20712 25890 34520 39194 41424 51780 58791 69040 78388 97985 103560 117582 156776 195970 207120 235164 293955 313552 391940 470328 587910 783880 940656 1175820 1567760 2351640 4703280 16912211 33824422 50736633 67648844 84561055 101473266 135297688 169122110 202946532 253683165 270595376 338244220 405893064 507366330 676488440 811786128 1014732660 1352976880 2029465320 4058930640