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44195040 = 2532547653
BaseRepresentation
bin1010100010010…
…1110011100000
310002011100012100
42220211303200
542303220130
64215130400
71044436341
oct250456340
9102140170
1044195040
1122a4642a
1212973a00
139205116
145c260c8
153d2ec60
hex2a25ce0

44195040 has 144 divisors (see below), whose sum is σ = 154260288. Its totient is φ = 11516928.

The previous prime is 44195023. The next prime is 44195059. The reversal of 44195040 is 4059144.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 44194995 and 44195013.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67354 + ... + 68006.

It is an arithmetic number, because the mean of its divisors is an integer number (1071252).

Almost surely, 244195040 is an apocalyptic number.

44195040 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 44195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77130144).

44195040 is an abundant number, since it is smaller than the sum of its proper divisors (110065248).

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

44195040 is a wasteful number, since it uses less digits than its factorization.

44195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 44195040 is about 6647.9350177330. The cubic root of 44195040 is about 353.5557003804. Note that the first 3 decimals are identical.

It can be divided in two parts, 441 and 95040, that added together give a square (95481 = 3092).

The spelling of 44195040 in words is "forty-four million, one hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 653 705 720 752 846 940 1128 1306 1410 1440 1504 1692 1880 1959 2115 2256 2612 2820 3265 3384 3760 3918 4230 4512 5224 5640 5877 6530 6768 7520 7836 8460 9795 10448 11280 11754 13060 13536 15672 16920 19590 20896 22560 23508 26120 29385 30691 31344 33840 39180 47016 52240 58770 61382 62688 67680 78360 92073 94032 104480 117540 122764 153455 156720 184146 188064 235080 245528 276219 306910 313440 368292 460365 470160 491056 552438 613820 736584 920730 940320 982112 1104876 1227640 1381095 1473168 1841460 2209752 2455280 2762190 2946336 3682920 4419504 4910560 5524380 7365840 8839008 11048760 14731680 22097520 44195040