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40973568 = 283311721
BaseRepresentation
bin1001110001001…
…1010100000000
32212002200011120
42130103110000
540442123233
64022112240
71005161316
oct234232400
985080146
1040973568
1121146059
121187b680
138647a1c
1456280b6
1538e54b3
hex2713500

40973568 has 72 divisors (see below), whose sum is σ = 112632576. Its totient is φ = 13209600.

The previous prime is 40973567. The next prime is 40973573. The reversal of 40973568 is 86537904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40973561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22948 + ... + 24668.

Almost surely, 240973568 is an apocalyptic number.

40973568 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 40973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56316288).

40973568 is an abundant number, since it is smaller than the sum of its proper divisors (71659008).

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

40973568 is a wasteful number, since it uses less digits than its factorization.

40973568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 40973568 is about 6401.0599122333. The cubic root of 40973568 is about 344.7476078828.

The spelling of 40973568 in words is "forty million, nine hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1721 1984 2976 3442 3968 5163 5952 6884 7936 10326 11904 13768 20652 23808 27536 41304 53351 55072 82608 106702 110144 160053 165216 213404 220288 320106 330432 426808 440576 640212 660864 853616 1280424 1321728 1707232 2560848 3414464 5121696 6828928 10243392 13657856 20486784 40973568