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48350440 = 23519113563
BaseRepresentation
bin1011100001110…
…0010011101000
310100222110100001
42320130103220
544334203230
64444152344
71124654245
oct270342350
9110873301
1048350440
1125324446
12142386b4
13a02b638
1465c85cc
1543a10ca
hex2e1c4e8

48350440 has 64 divisors (see below), whose sum is σ = 115732800. Its totient is φ = 18127872.

The previous prime is 48350437. The next prime is 48350443. The reversal of 48350440 is 4405384.

It is an interprime number because it is at equal distance from previous prime (48350437) and next prime (48350443).

It is a junction number, because it is equal to n+sod(n) for n = 48350399 and 48350408.

It is not an unprimeable number, because it can be changed into a prime (48350443) 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, 85599 + ... + 86161.

It is an arithmetic number, because the mean of its divisors is an integer number (1808325).

Almost surely, 248350440 is an apocalyptic number.

48350440 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 48350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57866400).

48350440 is an abundant number, since it is smaller than the sum of its proper divisors (67382360).

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

48350440 is a wasteful number, since it uses less digits than its factorization.

48350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 48350440 is about 6953.4480655284. The cubic root of 48350440 is about 364.3064078613.

The spelling of 48350440 in words is "forty-eight million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 563 565 760 904 1126 1130 2147 2252 2260 2815 4294 4504 4520 5630 8588 10697 10735 11260 17176 21394 21470 22520 42788 42940 53485 63619 85576 85880 106970 127238 213940 254476 318095 427880 508952 636190 1208761 1272380 2417522 2544760 4835044 6043805 9670088 12087610 24175220 48350440