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40954816 = 267113809
BaseRepresentation
bin1001110000111…
…0101111000000
32212001201110001
42130032233000
540441023231
64021445344
71005052540
oct234165700
985051401
1040954816
1121132a61
1211870854
13863c326
145621320
1538deb61
hex270ebc0

40954816 has 56 divisors (see below), whose sum is σ = 93817440. Its totient is φ = 17375232.

The previous prime is 40954811. The next prime is 40954831. The reversal of 40954816 is 61845904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40954811) 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, 50220 + ... + 51028.

Almost surely, 240954816 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 40954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46908720).

40954816 is an abundant number, since it is smaller than the sum of its proper divisors (52862624).

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

40954816 is a wasteful number, since it uses less digits than its factorization.

40954816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 40954816 is about 6399.5949871847. The cubic root of 40954816 is about 344.6950073574.

It can be divided in two parts, 4095 and 4816, that added together give a triangular number (8911 = T133).

The spelling of 40954816 in words is "forty million, nine hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 809 904 1582 1618 1808 3164 3236 3616 5663 6328 6472 7232 11326 12656 12944 22652 25312 25888 45304 50624 51776 90608 91417 181216 182834 362432 365668 639919 731336 1279838 1462672 2559676 2925344 5119352 5850688 10238704 20477408 40954816