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48699400 = 2352376581
BaseRepresentation
bin1011100111000…
…1100000001000
310101122012000111
42321301200020
544431340100
64455444104
71130636521
oct271614010
9111565014
1048699400
1125542642
1214386634
13a121419
146679848
15441e6ba
hex2e71808

48699400 has 48 divisors (see below), whose sum is σ = 116303940. Its totient is φ = 18950400.

The previous prime is 48699389. The next prime is 48699401. The reversal of 48699400 is 499684.

It can be written as a sum of positive squares in 6 ways, for example, as 21846276 + 26853124 = 4674^2 + 5182^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48699401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4110 + ... + 10690.

Almost surely, 248699400 is an apocalyptic number.

48699400 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 48699400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58151970).

48699400 is an abundant number, since it is smaller than the sum of its proper divisors (67604540).

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

48699400 is a wasteful number, since it uses less digits than its factorization.

48699400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 48699400 is about 6978.4955398710. The cubic root of 48699400 is about 365.1807449098.

The spelling of 48699400 in words is "forty-eight million, six hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 6581 7400 13162 26324 32905 52648 65810 131620 164525 243497 263240 329050 486994 658100 973988 1217485 1316200 1947976 2434970 4869940 6087425 9739880 12174850 24349700 48699400