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48385900 = 2252592139
BaseRepresentation
bin1011100010010…
…0111101101100
310101001020222101
42320210331230
544341322100
64445024444
71125162523
oct270447554
9111036871
1048385900
1125349052
1214255124
13a041814
1465d74ba
1543ab86a
hex2e24f6c

48385900 has 54 divisors (see below), whose sum is σ = 107575580. Its totient is φ = 18889440.

The previous prime is 48385877. The next prime is 48385903. The reversal of 48385900 is 958384.

It is a self number, because there is not a number n which added to its sum of digits gives 48385900.

It is not an unprimeable number, because it can be changed into a prime (48385903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 348031 + ... + 348169.

Almost surely, 248385900 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 48385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53787790).

48385900 is an abundant number, since it is smaller than the sum of its proper divisors (59189680).

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

48385900 is a wasteful number, since it uses less digits than its factorization.

48385900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 48385900 is about 6955.9974123054. The cubic root of 48385900 is about 364.3954463370.

The spelling of 48385900 in words is "forty-eight million, three hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 139 236 278 295 556 590 695 1180 1390 1475 2780 2950 3475 3481 5900 6950 6962 8201 13900 13924 16402 17405 32804 34810 41005 69620 82010 87025 164020 174050 205025 348100 410050 483859 820100 967718 1935436 2419295 4838590 9677180 12096475 24192950 48385900