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49444920 = 23325722803
BaseRepresentation
bin1011110010011…
…1100000111000
310110001001200100
42330213200320
5100124214140
64523435400
71140163200
oct274474070
9113031610
1049444920
1125a01778
1214685b60
13a322865
1467d1400
15451a530
hex2f27838

49444920 has 144 divisors (see below), whose sum is σ = 186998760. Its totient is φ = 11297664.

The previous prime is 49444873. The next prime is 49444939. The reversal of 49444920 is 2944494.

It is a happy number.

49444920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×494449202 = 4889600227612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16239 + ... + 19041.

Almost surely, 249444920 is an apocalyptic number.

49444920 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 49444920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93499380).

49444920 is an abundant number, since it is smaller than the sum of its proper divisors (137553840).

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

49444920 is a wasteful number, since it uses less digits than its factorization.

49444920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49444920 is about 7031.7081850714. The cubic root of 49444920 is about 367.0347854878.

The spelling of 49444920 in words is "forty-nine million, four hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2803 2940 3528 4410 5606 5880 8409 8820 11212 14015 16818 17640 19621 22424 25227 28030 33636 39242 42045 50454 56060 58863 67272 78484 84090 98105 100908 112120 117726 126135 137347 156968 168180 176589 196210 201816 235452 252270 274694 294315 336360 353178 392420 412041 470904 504540 549388 588630 686735 706356 784840 824082 882945 1009080 1098776 1177260 1236123 1373470 1412712 1648164 1765890 2060205 2354520 2472246 2746940 3296328 3531780 4120410 4944492 5493880 6180615 7063560 8240820 9888984 12361230 16481640 24722460 49444920