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49379040 = 2532553647
BaseRepresentation
bin1011110001011…
…1011011100000
310102220201022100
42330113123200
5100120112130
64522210400
71136500134
oct274273340
9112821270
1049379040
1125967227
1214653a00
13a2cb889
1467b53c4
154505c60
hex2f176e0

49379040 has 144 divisors (see below), whose sum is σ = 171950688. Its totient is φ = 12899328.

The previous prime is 49379021. The next prime is 49379059. The reversal of 49379040 is 4097394.

It is an interprime number because it is at equal distance from previous prime (49379021) and next prime (49379059).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 49378986 and 49379004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75997 + ... + 76643.

It is an arithmetic number, because the mean of its divisors is an integer number (1194102).

Almost surely, 249379040 is an apocalyptic number.

49379040 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 49379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85975344).

49379040 is an abundant number, since it is smaller than the sum of its proper divisors (122571648).

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

49379040 is a wasteful number, since it uses less digits than its factorization.

49379040 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49379040 is about 7027.0221288964. The cubic root of 49379040 is about 366.8717016711.

The spelling of 49379040 in words is "forty-nine million, three hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 647 720 795 848 954 1060 1272 1294 1440 1590 1696 1908 1941 2120 2385 2544 2588 3180 3235 3816 3882 4240 4770 5088 5176 5823 6360 6470 7632 7764 8480 9540 9705 10352 11646 12720 12940 15264 15528 19080 19410 20704 23292 25440 25880 29115 31056 34291 38160 38820 46584 51760 58230 62112 68582 76320 77640 93168 102873 103520 116460 137164 155280 171455 186336 205746 232920 274328 308619 310560 342910 411492 465840 514365 548656 617238 685820 822984 931680 1028730 1097312 1234476 1371640 1543095 1645968 2057460 2468952 2743280 3086190 3291936 4114920 4937904 5486560 6172380 8229840 9875808 12344760 16459680 24689520 49379040