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40879640 = 235193149
BaseRepresentation
bin1001101111110…
…0011000011000
32211220220022202
42123330120120
540431122030
64020105332
71004320424
oct233743030
984826282
1040879640
112109152a
1211835248
138614049
145601b84
1538c7745
hex26fc618

40879640 has 64 divisors (see below), whose sum is σ = 97740000. Its totient is φ = 15387264.

The previous prime is 40879609. The next prime is 40879673. The reversal of 40879640 is 4697804.

It is a happy number.

40879640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×408796402 = 3342289933059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 40879594 and 40879603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274286 + ... + 274434.

Almost surely, 240879640 is an apocalyptic number.

40879640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40879640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48870000).

40879640 is an abundant number, since it is smaller than the sum of its proper divisors (56860360).

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

40879640 is a wasteful number, since it uses less digits than its factorization.

40879640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 40879640 is about 6393.7187926902. The cubic root of 40879640 is about 344.4839726479.

The spelling of 40879640 in words is "forty million, eight hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 149 152 190 298 361 380 596 722 745 760 1192 1444 1490 1805 2831 2888 2980 3610 5662 5960 6859 7220 11324 13718 14155 14440 22648 27436 28310 34295 53789 54872 56620 68590 107578 113240 137180 215156 268945 274360 430312 537890 1021991 1075780 2043982 2151560 4087964 5109955 8175928 10219910 20439820 40879640