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4199979440 = 24571739433
BaseRepresentation
bin1111101001010110…
…1001100110110000
3101211201000001200002
43322111221212300
532100143320230
61532432045132
7206036144006
oct37225514660
911751001602
104199979440
111865862798
129926937a8
1351c19c547
142bbb2ca76
15198ac8545
hexfa5699b0

4199979440 has 40 divisors (see below), whose sum is σ = 9902500128. Its totient is φ = 1656327680.

The previous prime is 4199979419. The next prime is 4199979449. The reversal of 4199979440 is 449799914.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4199979449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364037 + ... + 375396.

Almost surely, 24199979440 is an apocalyptic number.

4199979440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4199979440 is an abundant number, since it is smaller than the sum of its proper divisors (5702520688).

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

4199979440 is a wasteful number, since it uses less digits than its factorization.

4199979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739517 (or 739511 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The square root of 4199979440 is about 64807.2483600407. The cubic root of 4199979440 is about 1613.4260133145.

The spelling of 4199979440 in words is "four billion, one hundred ninety-nine million, nine hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 739433 1478866 2957732 3697165 5915464 7394330 11830928 14788660 29577320 52499743 59154640 104999486 209998972 262498715 419997944 524997430 839995888 1049994860 2099989720 4199979440