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40614496 = 2513175743
BaseRepresentation
bin1001101011101…
…1101001100000
32211102102121121
42122323221200
540344130441
64010302024
71002134416
oct232735140
984372547
1040614496
1120a202aa
1211727914
138550460
1455732b6
153873dd1
hex26bba60

40614496 has 48 divisors (see below), whose sum is σ = 91191744. Its totient is φ = 17639424.

The previous prime is 40614467. The next prime is 40614503. The reversal of 40614496 is 69441604.

40614496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4201 + ... + 9943.

It is an arithmetic number, because the mean of its divisors is an integer number (1899828).

Almost surely, 240614496 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 40614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45595872).

40614496 is an abundant number, since it is smaller than the sum of its proper divisors (50577248).

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

40614496 is a wasteful number, since it uses less digits than its factorization.

40614496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 40614496 is about 6372.9503371672. The cubic root of 40614496 is about 343.7375860641.

The spelling of 40614496 in words is "forty million, six hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 5743 7072 11486 22972 45944 74659 91888 97631 149318 183776 195262 298636 390524 597272 781048 1194544 1269203 1562096 2389088 2538406 3124192 5076812 10153624 20307248 40614496