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40093056 = 27351289
BaseRepresentation
bin1001100011110…
…0010110000000
32210102221100000
42120330112000
540230434211
63551200000
7664533243
oct230742600
983387300
1040093056
11206a4563
1211516000
1383ca003
14547925a
1537be656
hex263c580

40093056 has 96 divisors (see below), whose sum is σ = 119737800. Its totient is φ = 13353984.

The previous prime is 40093049. The next prime is 40093057. The reversal of 40093056 is 65039004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40093057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30460 + ... + 31748.

Almost surely, 240093056 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 40093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59868900).

40093056 is an abundant number, since it is smaller than the sum of its proper divisors (79644744).

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

40093056 is an equidigital number, since it uses as much as digits as its factorization.

40093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40093056 is about 6331.9077693851. The cubic root of 40093056 is about 342.2601898119.

The spelling of 40093056 in words is "forty million, ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1289 1296 1728 1944 2578 2592 3456 3867 3888 5156 5184 7734 7776 10312 10368 11601 15468 15552 20624 23202 30936 31104 34803 41248 46404 61872 69606 82496 92808 104409 123744 139212 164992 185616 208818 247488 278424 313227 371232 417636 494976 556848 626454 742464 835272 1113696 1252908 1484928 1670544 2227392 2505816 3341088 4454784 5011632 6682176 10023264 13364352 20046528 40093056