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4000046640 = 243581120551
BaseRepresentation
bin1110111001101011…
…1101111000110000
3101022202210102102120
43232122331320300
531143002443030
61500530514240
7201060556362
oct35632757060
911282712376
104000046640
111772a16277
12937735980
134b9939a05
1429d366d32
15186284010
hexee6bde30

4000046640 has 80 divisors (see below), whose sum is σ = 12416038656. Its totient is φ = 1065312000.

The previous prime is 4000046629. The next prime is 4000046641. The reversal of 4000046640 is 466400004.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4000046640.

It is not an unprimeable number, because it can be changed into a prime (4000046641) by changing a digit.

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, 184365 + ... + 204915.

Almost surely, 24000046640 is an apocalyptic number.

4000046640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000046640 is an abundant number, since it is smaller than the sum of its proper divisors (8415992016).

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

4000046640 is a wasteful number, since it uses less digits than its factorization.

4000046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 21372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4000046640 is about 63245.9219238679. The cubic root of 4000046640 is about 1587.4072216430.

Adding to 4000046640 its reverse (466400004), we get a palindrome (4466446644).

The spelling of 4000046640 in words is "four billion, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 811 1622 2433 3244 4055 4866 6488 8110 9732 12165 12976 16220 19464 20551 24330 32440 38928 41102 48660 61653 64880 82204 97320 102755 123306 164408 194640 205510 246612 308265 328816 411020 493224 616530 822040 986448 1233060 1644080 2466120 4932240 16666861 33333722 50000583 66667444 83334305 100001166 133334888 166668610 200002332 250002915 266669776 333337220 400004664 500005830 666674440 800009328 1000011660 1333348880 2000023320 4000046640