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4202606640 = 243541274243
BaseRepresentation
bin1111101001111110…
…1011000000110000
3101211212221112111210
43322133223000300
532101331403030
61533004240120
7206100365331
oct37237530060
911755845453
104202606640
111867297631
12993540040
1351c8ac2bb
142bc214288
15198e46bb0
hexfa7eb030

4202606640 has 80 divisors (see below), whose sum is σ = 13034308608. Its totient is φ = 1120159488.

The previous prime is 4202606623. The next prime is 4202606647. The reversal of 4202606640 is 466062024.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4202606598 and 4202606607.

It is not an unprimeable number, because it can be changed into a prime (4202606647) 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 15 ways as a sum of consecutive naturals, for example, 988359 + ... + 992601.

Almost surely, 24202606640 is an apocalyptic number.

4202606640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202606640 is an abundant number, since it is smaller than the sum of its proper divisors (8831701968).

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

4202606640 is a wasteful number, since it uses less digits than its factorization.

4202606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4202606640 is about 64827.5145289406. The cubic root of 4202606640 is about 1613.7623569691.

Adding to 4202606640 its reverse (466062024), we get a palindrome (4668668664).

The spelling of 4202606640 in words is "four billion, two hundred two million, six hundred six 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 4127 4243 8254 8486 12381 12729 16508 16972 20635 21215 24762 25458 33016 33944 41270 42430 49524 50916 61905 63645 66032 67888 82540 84860 99048 101832 123810 127290 165080 169720 198096 203664 247620 254580 330160 339440 495240 509160 990480 1018320 17510861 35021722 52532583 70043444 87554305 105065166 140086888 175108610 210130332 262662915 280173776 350217220 420260664 525325830 700434440 840521328 1050651660 1400868880 2101303320 4202606640