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44448100 = 22523741293
BaseRepresentation
bin1010100110001…
…1100101100100
310002122012022221
42221203211210
542334314400
64224402124
71046542204
oct251434544
9102565287
1044448100
11230a9574
1212a76344
139293368
145c90404
153d7ec1a
hex2a63964

44448100 has 72 divisors (see below), whose sum is σ = 101821608. Its totient is φ = 16819200.

The previous prime is 44448091. The next prime is 44448109. The reversal of 44448100 is 184444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44448091) and next prime (44448109).

It can be written as a sum of positive squares in 12 ways, for example, as 4227136 + 40220964 = 2056^2 + 6342^2 .

It is a super-2 number, since 2×444481002 = 3951267187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44448109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151554 + ... + 151846.

It is an arithmetic number, because the mean of its divisors is an integer number (1414189).

Almost surely, 244448100 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 44448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50910804).

44448100 is an abundant number, since it is smaller than the sum of its proper divisors (57373508).

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

44448100 is a wasteful number, since it uses less digits than its factorization.

44448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 44448100 is about 6666.9408276960. The cubic root of 44448100 is about 354.2292343132.

It can be divided in two parts, 4444 and 8100, that added together give a square (12544 = 1122).

The spelling of 44448100 in words is "forty-four million, four hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 293 370 410 586 740 820 925 1025 1172 1465 1517 1850 2050 2930 3034 3700 4100 5860 6068 7325 7585 10841 12013 14650 15170 21682 24026 29300 30340 37925 43364 48052 54205 60065 75850 108410 120130 151700 216820 240260 271025 300325 444481 542050 600650 888962 1084100 1201300 1777924 2222405 4444810 8889620 11112025 22224050 44448100