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44425920 = 2635711601
BaseRepresentation
bin1010100101111…
…0001011000000
310002121001220110
42221132023000
542333112140
64224111320
71046420430
oct251361300
9102531813
1044425920
1123093940
1212a65540
139286236
145c862c0
153d78380
hex2a5e2c0

44425920 has 224 divisors, whose sum is σ = 176150016. Its totient is φ = 9216000.

The previous prime is 44425897. The next prime is 44425957. The reversal of 44425920 is 2952444.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73620 + ... + 74220.

It is an arithmetic number, because the mean of its divisors is an integer number (786384).

Almost surely, 244425920 is an apocalyptic number.

44425920 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 44425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88075008).

44425920 is an abundant number, since it is smaller than the sum of its proper divisors (131724096).

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

44425920 is a wasteful number, since it uses less digits than its factorization.

44425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 44425920 is about 6665.2771885346. The cubic root of 44425920 is about 354.1703033229.

The spelling of 44425920 in words is "forty-four million, four hundred twenty-five thousand, nine hundred twenty".