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44442120 = 23351792069
BaseRepresentation
bin1010100110001…
…0001000001000
310002121220010110
42221202020020
542334121440
64224314320
71046515602
oct251421010
9102556113
1044442120
11230a5028
1212a729a0
139290718
145c8c172
153d7d080
hex2a62208

44442120 has 64 divisors (see below), whose sum is σ = 134136000. Its totient is φ = 11779328.

The previous prime is 44442077. The next prime is 44442133. The reversal of 44442120 is 2124444.

It is a super-3 number, since 3×444421203 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20446 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (2095875).

Almost surely, 244442120 is an apocalyptic number.

44442120 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 44442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67068000).

44442120 is an abundant number, since it is smaller than the sum of its proper divisors (89693880).

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

44442120 is a wasteful number, since it uses less digits than its factorization.

44442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 44442120 is about 6666.4923310539. The cubic root of 44442120 is about 354.2133477262.

Adding to 44442120 its reverse (2124444), we get a palindrome (46566564).

The spelling of 44442120 in words is "forty-four million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2069 2148 2685 3580 4138 4296 5370 6207 7160 8276 10345 10740 12414 16552 20690 21480 24828 31035 41380 49656 62070 82760 124140 248280 370351 740702 1111053 1481404 1851755 2222106 2962808 3703510 4444212 5555265 7407020 8888424 11110530 14814040 22221060 44442120