Search a number
-
+
49438720 = 21351771
BaseRepresentation
bin1011110010011…
…0000000000000
310110000202011201
42330212000000
5100124014340
64523350544
71140136132
oct274460000
9113022151
1049438720
11259a8051
1214682454
13a31caa6
1467cd052
15451879a
hex2f26000

49438720 has 112 divisors (see below), whose sum is σ = 127394208. Its totient is φ = 18350080.

The previous prime is 49438679. The next prime is 49438721. The reversal of 49438720 is 2783494.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49438720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49438721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696285 + ... + 696355.

Almost surely, 249438720 is an apocalyptic number.

49438720 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 49438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63697104).

49438720 is an abundant number, since it is smaller than the sum of its proper divisors (77955488).

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

49438720 is an equidigital number, since it uses as much as digits as its factorization.

49438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 49438720 is about 7031.2673110898. The cubic root of 49438720 is about 367.0194437649.

The spelling of 49438720 in words is "forty-nine million, four hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 71 80 85 128 136 142 160 170 256 272 284 320 340 355 512 544 568 640 680 710 1024 1088 1136 1207 1280 1360 1420 2048 2176 2272 2414 2560 2720 2840 4096 4352 4544 4828 5120 5440 5680 6035 8192 8704 9088 9656 10240 10880 11360 12070 17408 18176 19312 20480 21760 22720 24140 34816 36352 38624 40960 43520 45440 48280 69632 72704 77248 87040 90880 96560 139264 145408 154496 174080 181760 193120 290816 308992 348160 363520 386240 581632 617984 696320 727040 772480 1235968 1454080 1544960 2471936 2908160 3089920 4943872 6179840 9887744 12359680 24719360 49438720