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44090496 = 273238273
BaseRepresentation
bin1010100000110…
…0010010000000
310001222000210100
42220030102000
542241343441
64213002400
71043522502
oct250142200
9101860710
1044090496
112298492a
1212923400
139199668
145bd9d72
153d0dcb6
hex2a0c480

44090496 has 48 divisors (see below), whose sum is σ = 126878310. Its totient is φ = 14696448.

The previous prime is 44090479. The next prime is 44090509. The reversal of 44090496 is 69409044.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 14930496 = 5400^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 44090496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17985 + ... + 20288.

Almost surely, 244090496 is an apocalyptic number.

It is an amenable number.

44090496 is an abundant number, since it is smaller than the sum of its proper divisors (82787814).

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

44090496 is a wasteful number, since it uses less digits than its factorization.

44090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38293 (or 38278 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 44090496 is about 6640.0674695367. The cubic root of 44090496 is about 353.2766999140.

The spelling of 44090496 in words is "forty-four million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 38273 76546 114819 153092 229638 306184 344457 459276 612368 688914 918552 1224736 1377828 1837104 2449472 2755656 3674208 4898944 5511312 7348416 11022624 14696832 22045248 44090496