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44742480 = 2435414547
BaseRepresentation
bin1010101010101…
…1011101010000
310010012011010220
42222223131100
542423224410
64234553040
71052206356
oct252533520
9103164126
1044742480
112328a762
1212b98780
139367353
145d297d6
153ddc070
hex2aab750

44742480 has 80 divisors (see below), whose sum is σ = 142115904. Its totient is φ = 11637760.

The previous prime is 44742461. The next prime is 44742499. The reversal of 44742480 is 8424744.

44742480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44742461) and next prime (44742499).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 7567 + ... + 12113.

Almost surely, 244742480 is an apocalyptic number.

44742480 is a gapful number since it is divisible by the number (40) 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 44742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71057952).

44742480 is an abundant number, since it is smaller than the sum of its proper divisors (97373424).

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

44742480 is a wasteful number, since it uses less digits than its factorization.

44742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 44742480 is about 6688.9819853248. The cubic root of 44742480 is about 355.0095348890.

The spelling of 44742480 in words is "forty-four million, seven hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4547 4920 9094 9840 13641 18188 22735 27282 36376 45470 54564 68205 72752 90940 109128 136410 181880 186427 218256 272820 363760 372854 545640 559281 745708 932135 1091280 1118562 1491416 1864270 2237124 2796405 2982832 3728540 4474248 5592810 7457080 8948496 11185620 14914160 22371240 44742480