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9042876040 = 23511193106487
BaseRepresentation
bin10000110101111111…
…10101011010001000
3212100012202200212211
420122333311122020
5122004434013130
64053152114504
7440043115042
oct103277653210
925305680784
109042876040
113920516680
121904535a34
13b11612c33
1461adb6a92
1537dd4aa2a
hex21aff5688

9042876040 has 64 divisors (see below), whose sum is σ = 22311365760. Its totient is φ = 3271249920.

The previous prime is 9042876023. The next prime is 9042876041. The reversal of 9042876040 is 406782409.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9042875984 and 9042876002.

It is not an unprimeable number, because it can be changed into a prime (9042876041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31677 + ... + 138163.

It is an arithmetic number, because the mean of its divisors is an integer number (348615090).

Almost surely, 29042876040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155682880).

9042876040 is an abundant number, since it is smaller than the sum of its proper divisors (13268489720).

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

9042876040 is a wasteful number, since it uses less digits than its factorization.

9042876040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106702 (or 106698 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 9042876040 is about 95094.0378783023. The cubic root of 9042876040 is about 2083.3817676349.

The spelling of 9042876040 in words is "nine billion, forty-two million, eight hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 386 440 772 965 1544 1930 2123 3860 4246 7720 8492 10615 16984 21230 42460 84920 106487 212974 425948 532435 851896 1064870 1171357 2129740 2342714 4259480 4685428 5856785 9370856 11713570 20551991 23427140 41103982 46854280 82207964 102759955 164415928 205519910 226071901 411039820 452143802 822079640 904287604 1130359505 1808575208 2260719010 4521438020 9042876040