Search a number
-
+
48230640 = 24365827
BaseRepresentation
bin1011011111111…
…1000011110000
310100202101000000
42313333003300
544321340030
64441430000
71123645053
oct267770360
9110671000
1048230640
1125252437
121419b300
139cb8c53
146596a9a
15437a860
hex2dff0f0

48230640 has 140 divisors (see below), whose sum is σ = 168330744. Its totient is φ = 12845952.

The previous prime is 48230629. The next prime is 48230641. The reversal of 48230640 is 4603284.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48230641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57907 + ... + 58733.

Almost surely, 248230640 is an apocalyptic number.

48230640 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 48230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84165372).

48230640 is an abundant number, since it is smaller than the sum of its proper divisors (120100104).

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

48230640 is an equidigital number, since it uses as much as digits as its factorization.

48230640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48230640 is about 6944.8282916138. The cubic root of 48230640 is about 364.0052730388.

The spelling of 48230640 in words is "forty-eight million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 827 972 1080 1215 1296 1458 1620 1654 1944 2160 2430 2481 2916 3240 3308 3645 3888 4135 4860 4962 5832 6480 6616 7290 7443 8270 9720 9924 11664 12405 13232 14580 14886 16540 19440 19848 22329 24810 29160 29772 33080 37215 39696 44658 49620 58320 59544 66160 66987 74430 89316 99240 111645 119088 133974 148860 178632 198480 200961 223290 267948 297720 334935 357264 401922 446580 535896 595440 602883 669870 803844 893160 1004805 1071792 1205766 1339740 1607688 1786320 2009610 2411532 2679480 3014415 3215376 4019220 4823064 5358960 6028830 8038440 9646128 12057660 16076880 24115320 48230640