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3750048 = 253229449
BaseRepresentation
bin1110010011100010100000
321001112002200
432103202200
51430000143
6212213200
743606041
oct16234240
97045080
103750048
112131515
12130a200
13a13b83
146d88c8
154e11d3
hex3938a0

3750048 has 72 divisors (see below), whose sum is σ = 11056500. Its totient is φ = 1204224.

The previous prime is 3750041. The next prime is 3750067. The reversal of 3750048 is 8400573.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 17424 = 1932^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3750041) 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, 8128 + ... + 8576.

Almost surely, 23750048 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 3750048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528250).

3750048 is an abundant number, since it is smaller than the sum of its proper divisors (7306452).

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

3750048 is a wasteful number, since it uses less digits than its factorization.

3750048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3750048 is about 1936.5040666108. The cubic root of 3750048 is about 155.3622881711.

The spelling of 3750048 in words is "three million, seven hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 449 464 522 696 898 928 1044 1347 1392 1796 2088 2694 2784 3592 4041 4176 5388 7184 8082 8352 10776 13021 14368 16164 21552 26042 32328 39063 43104 52084 64656 78126 104168 117189 129312 156252 208336 234378 312504 416672 468756 625008 937512 1250016 1875024 3750048