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40748096 = 264153293
BaseRepresentation
bin1001101101110…
…0010001000000
32211200012212202
42123130101000
540412414341
64013212332
71003232054
oct233342100
984605782
1040748096
1121001714
12117910a8
1385991cc
1455a9c64
15389d79b
hex26dc440

40748096 has 56 divisors (see below), whose sum is σ = 84682584. Its totient is φ = 19435520.

The previous prime is 40748083. The next prime is 40748101. The reversal of 40748096 is 69084704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 31360000 = 3064^2 + 5600^2 .

It is a congruent number.

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, 138926 + ... + 139218.

It is an arithmetic number, because the mean of its divisors is an integer number (1512189).

Almost surely, 240748096 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 40748096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42341292).

40748096 is an abundant number, since it is smaller than the sum of its proper divisors (43934488).

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

40748096 is a wasteful number, since it uses less digits than its factorization.

40748096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

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

The square root of 40748096 is about 6383.4235328701. The cubic root of 40748096 is about 344.1140779033.

The spelling of 40748096 in words is "forty million, seven hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 164 212 293 328 424 586 656 848 1172 1312 1696 2173 2344 2624 3392 4346 4688 8692 9376 12013 15529 17384 18752 24026 31058 34768 48052 62116 69536 96104 124232 139072 192208 248464 384416 496928 636689 768832 993856 1273378 2546756 5093512 10187024 20374048 40748096