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40640064 = 2631712451
BaseRepresentation
bin1001101100000…
…1111001000000
32211110201200120
42123001321000
540400440224
64011020240
71002302103
oct233017100
984421616
1040640064
1120a38533
121173a680
13855bc9a
14557c73a
15387b779
hex26c1e40

40640064 has 56 divisors (see below), whose sum is σ = 113861088. Its totient is φ = 12748800.

The previous prime is 40640053. The next prime is 40640113. The reversal of 40640064 is 46004604.

It is a super-2 number, since 2×406400642 = 3303229603848192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962 + ... + 9489.

Almost surely, 240640064 is an apocalyptic number.

It is an amenable number.

40640064 is an abundant number, since it is smaller than the sum of its proper divisors (73221024).

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

40640064 is a wasteful number, since it uses less digits than its factorization.

40640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12473 counting only the distinct ones).

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

The square root of 40640064 is about 6374.9559998482. The cubic root of 40640064 is about 343.8097018509.

Adding to 40640064 its reverse (46004604), we get a palindrome (86644668).

It can be divided in two parts, 406 and 40064, that added together give a triangular number (40470 = T284).

The spelling of 40640064 in words is "forty million, six hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 12451 24902 37353 49804 74706 99608 149412 199216 211667 298824 398432 423334 597648 635001 796864 846668 1195296 1270002 1693336 2390592 2540004 3386672 5080008 6773344 10160016 13546688 20320032 40640064