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49120320 = 2635192693
BaseRepresentation
bin1011101101100…
…0010001000000
310102102120102010
42323120101000
5100033322240
64512452520
71134341634
oct273302100
9112376363
1049120320
11257aa907
121454a140
13a23aba2
146748dc4
1544a4280
hex2ed8440

49120320 has 112 divisors (see below), whose sum is σ = 164226240. Its totient is φ = 12404736.

The previous prime is 49120297. The next prime is 49120321. The reversal of 49120320 is 2302194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49120321) 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, 16894 + ... + 19586.

Almost surely, 249120320 is an apocalyptic number.

49120320 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 49120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82113120).

49120320 is an abundant number, since it is smaller than the sum of its proper divisors (115105920).

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

49120320 is a wasteful number, since it uses less digits than its factorization.

49120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 49120320 is about 7008.5890163427. The cubic root of 49120320 is about 366.2298415988.

The spelling of 49120320 in words is "forty-nine million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 2693 3040 3648 4560 5386 6080 8079 9120 10772 13465 16158 18240 21544 26930 32316 40395 43088 51167 53860 64632 80790 86176 102334 107720 129264 153501 161580 172352 204668 215440 255835 258528 307002 323160 409336 430880 511670 517056 614004 646320 767505 818672 861760 1023340 1228008 1292640 1535010 1637344 2046680 2456016 2585280 3070020 3274688 4093360 4912032 6140040 8186720 9824064 12280080 16373440 24560160 49120320