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40921968 = 24323101367
BaseRepresentation
bin1001110000011…
…0101101110000
32212000001101110
42130012231300
540434000333
64021033320
71004555013
oct234065560
985001343
1040921968
112111030a
1211855840
13862a3a9
14561337a
1538d5063
hex2706b70

40921968 has 80 divisors (see below), whose sum is σ = 111707136. Its totient is φ = 12883200.

The previous prime is 40921967. The next prime is 40921981. The reversal of 40921968 is 86912904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40921961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111321 + ... + 111687.

Almost surely, 240921968 is an apocalyptic number.

40921968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40921968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55853568).

40921968 is an abundant number, since it is smaller than the sum of its proper divisors (70785168).

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

40921968 is a wasteful number, since it uses less digits than its factorization.

40921968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 40921968 is about 6397.0280599666. The cubic root of 40921968 is about 344.6028279659.

The spelling of 40921968 in words is "forty million, nine hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 101 138 184 202 276 303 367 368 404 552 606 734 808 1101 1104 1212 1468 1616 2202 2323 2424 2936 4404 4646 4848 5872 6969 8441 8808 9292 13938 16882 17616 18584 25323 27876 33764 37067 37168 50646 55752 67528 74134 101292 111201 111504 135056 148268 202584 222402 296536 405168 444804 593072 852541 889608 1705082 1779216 2557623 3410164 5115246 6820328 10230492 13640656 20460984 40921968