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48745260 = 22335194751
BaseRepresentation
bin1011100111110…
…0101100101100
310101201111221000
42321330230230
544434322020
64500440300
71131220314
oct271745454
9111644830
1048745260
1125574043
12143a9090
13a139265
14668c444
15442d090
hex2e7cb2c

48745260 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 12312000.

The previous prime is 48745223. The next prime is 48745261. The reversal of 48745260 is 6254784.

It is a super-2 number, since 2×487452602 = 4752200744935200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48745261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7885 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 248745260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48745260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

48745260 is an abundant number, since it is smaller than the sum of its proper divisors (110921940).

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

48745260 is a wasteful number, since it uses less digits than its factorization.

48745260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48745260 is about 6981.7805751828. The cubic root of 48745260 is about 365.2953386201.

The spelling of 48745260 in words is "forty-eight million, seven hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 4751 5130 9502 10260 14253 19004 23755 28506 42759 47510 57012 71265 85518 90269 95020 128277 142530 171036 180538 213795 256554 270807 285060 361076 427590 451345 513108 541614 641385 812421 855180 902690 1083228 1282770 1354035 1624842 1805380 2437263 2565540 2708070 3249684 4062105 4874526 5416140 8124210 9749052 12186315 16248420 24372630 48745260