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40746112 = 271143673
BaseRepresentation
bin1001101101101…
…1110010000000
32211200010011021
42123123302000
540412333422
64013155224
71003223221
oct233336200
984603137
1040746112
1121000180
121178bb14
138598334
1455a9248
15389cdc7
hex26dbc80

40746112 has 64 divisors (see below), whose sum is σ = 90747360. Its totient is φ = 18063360.

The previous prime is 40746107. The next prime is 40746137. The reversal of 40746112 is 21164704.

It is a tau number, because it is divible by the number of its divisors (64).

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, 60208 + ... + 60880.

Almost surely, 240746112 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 40746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45373680).

40746112 is an abundant number, since it is smaller than the sum of its proper divisors (50001248).

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

40746112 is a wasteful number, since it uses less digits than its factorization.

40746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 40746112 is about 6383.2681284746. The cubic root of 40746112 is about 344.1084929110.

The spelling of 40746112 in words is "forty million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 473 673 688 704 946 1346 1376 1408 1892 2692 2752 3784 5384 5504 7403 7568 10768 14806 15136 21536 28939 29612 30272 43072 57878 59224 60544 86144 115756 118448 231512 236896 318329 463024 473792 636658 926048 947584 1273316 1852096 2546632 3704192 5093264 10186528 20373056 40746112