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40820672 = 261722207
BaseRepresentation
bin1001101110110…
…1111111000000
32211210220102202
42123231333000
540422230142
64014532332
71003653464
oct233557700
984726382
1040820672
11210511a2
12118070a8
1385c3259
1455c84a4
1538b5032
hex26edfc0

40820672 has 42 divisors (see below), whose sum is σ = 86087712. Its totient is φ = 19201024.

The previous prime is 40820639. The next prime is 40820687. The reversal of 40820672 is 27602804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17393 + ... + 19599.

Almost surely, 240820672 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 40820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43043856).

40820672 is an abundant number, since it is smaller than the sum of its proper divisors (45267040).

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

40820672 is a wasteful number, since it uses less digits than its factorization.

40820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 40820672 is about 6389.1057277212. The cubic root of 40820672 is about 344.3182560384.

The spelling of 40820672 in words is "forty million, eight hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2207 2312 4414 4624 8828 9248 17656 18496 35312 37519 70624 75038 141248 150076 300152 600304 637823 1200608 1275646 2401216 2551292 5102584 10205168 20410336 40820672