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44704 = 2511127
BaseRepresentation
bin1010111010100000
32021022201
422322200
52412304
6542544
7244222
oct127240
967281
1044704
1130650
1221a54
131746a
1412412
15d3a4
hexaea0

44704 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 20160.

The previous prime is 44701. The next prime is 44711. The reversal of 44704 is 40744.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (44701) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 289 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

244704 is an apocalyptic number.

44704 is a gapful number since it is divisible by the number (44) 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 44704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

44704 is an abundant number, since it is smaller than the sum of its proper divisors (52064).

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

44704 is a wasteful number, since it uses less digits than its factorization.

44704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 44704 is about 211.4332045824. The cubic root of 44704 is about 35.4907732418.

It can be divided in two parts, 44 and 704, that multiplied together give a square (30976 = 1762).

The spelling of 44704 in words is "forty-four thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 4064 5588 11176 22352 44704