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48007720 = 2354173401
BaseRepresentation
bin1011011100100…
…0101000101000
310100100001012201
42313020220220
544242221340
64432545544
71122026125
oct267105050
9110301181
1048007720
112510aa02
12140b22b4
139c3b647
14653974c
15433479a
hex2dc8a28

48007720 has 64 divisors (see below), whose sum is σ = 112447440. Its totient is φ = 18432000.

The previous prime is 48007717. The next prime is 48007741. The reversal of 48007720 is 2770084.

It can be written as a sum of positive squares in 8 ways, for example, as 25140196 + 22867524 = 5014^2 + 4782^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119520 + ... + 119920.

Almost surely, 248007720 is an apocalyptic number.

48007720 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 48007720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56223720).

48007720 is an abundant number, since it is smaller than the sum of its proper divisors (64439720).

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

48007720 is a wasteful number, since it uses less digits than its factorization.

48007720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 48007720 is about 6928.7603508853. The cubic root of 48007720 is about 363.4436010928.

The spelling of 48007720 in words is "forty-eight million, seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 164 205 292 328 365 401 410 584 730 802 820 1460 1604 1640 2005 2920 2993 3208 4010 5986 8020 11972 14965 16040 16441 23944 29273 29930 32882 58546 59860 65764 82205 117092 119720 131528 146365 164410 234184 292730 328820 585460 657640 1170920 1200193 2400386 4800772 6000965 9601544 12001930 24003860 48007720