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48794240 = 2751129239
BaseRepresentation
bin1011101000100…
…0101010000000
310101211000010002
42322020222000
544442403430
64501455132
71131513155
oct272105200
9111730102
1048794240
11255a7920
12144114a8
13a155641
1466a222c
15443c845
hex2e88a80

48794240 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 17059840.

The previous prime is 48794237. The next prime is 48794257. The reversal of 48794240 is 4249784.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 48794194 and 48794203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204041 + ... + 204279.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 248794240 is an apocalyptic number.

48794240 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 48794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

48794240 is an abundant number, since it is smaller than the sum of its proper divisors (83397760).

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

48794240 is a wasteful number, since it uses less digits than its factorization.

48794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 48794240 is about 6985.2873956624. The cubic root of 48794240 is about 365.4176491535.

It can be divided in two parts, 4879 and 4240, that added together give a palindrome (9119).

The spelling of 48794240 in words is "forty-eight million, seven hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 239 290 319 320 352 440 464 478 580 638 640 704 880 928 956 1160 1195 1276 1408 1595 1760 1856 1912 2320 2390 2552 2629 3190 3520 3712 3824 4640 4780 5104 5258 6380 6931 7040 7648 9280 9560 10208 10516 12760 13145 13862 15296 18560 19120 20416 21032 25520 26290 27724 30592 34655 38240 40832 42064 51040 52580 55448 69310 76241 76480 84128 102080 105160 110896 138620 152482 152960 168256 204160 210320 221792 277240 304964 336512 381205 420640 443584 554480 609928 762410 841280 887168 1108960 1219856 1524820 1682560 2217920 2439712 3049640 4435840 4879424 6099280 9758848 12198560 24397120 48794240