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49394880 = 263355717
BaseRepresentation
bin1011110001101…
…1010011000000
310102221112001000
42330123103000
5100121114010
64522412000
71136564253
oct274332300
9112845030
1049394880
1125978117
1214661000
13a305b52
1467bb09a
15450a7c0
hex2f1b4c0

49394880 has 112 divisors (see below), whose sum is σ = 174284640. Its totient is φ = 13169664.

The previous prime is 49394861. The next prime is 49394881. The reversal of 49394880 is 8849394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49394881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782 + ... + 11498.

Almost surely, 249394880 is an apocalyptic number.

49394880 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 49394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87142320).

49394880 is an abundant number, since it is smaller than the sum of its proper divisors (124889760).

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

49394880 is a wasteful number, since it uses less digits than its factorization.

49394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 49394880 is about 7028.1491162325. The cubic root of 49394880 is about 366.9109263197.

The spelling of 49394880 in words is "forty-nine million, three hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 5717 8640 11434 17151 22868 28585 34302 45736 51453 57170 68604 85755 91472 102906 114340 137208 154359 171510 182944 205812 228680 257265 274416 308718 343020 365888 411624 457360 514530 548832 617436 686040 771795 823248 914720 1029060 1097664 1234872 1372080 1543590 1646496 1829440 2058120 2469744 2744160 3087180 3292992 4116240 4939488 5488320 6174360 8232480 9878976 12348720 16464960 24697440 49394880