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3901248 = 263213521
BaseRepresentation
bin1110111000011101000000
321100012111200
432320131000
51444314443
6215341200
745105621
oct16703500
97305450
103901248
11222507a
121381800
13a67940
14737a48
15520dd3
hex3b8740

3901248 has 84 divisors (see below), whose sum is σ = 12065508. Its totient is φ = 1198080.

The previous prime is 3901229. The next prime is 3901259. The reversal of 3901248 is 8421093.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 3069504 = 912^2 + 1752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7228 + ... + 7748.

It is an arithmetic number, because the mean of its divisors is an integer number (143637).

Almost surely, 23901248 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 3901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032754).

3901248 is an abundant number, since it is smaller than the sum of its proper divisors (8164260).

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

3901248 is a wasteful number, since it uses less digits than its factorization.

3901248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3901248 is about 1975.1577152217. The cubic root of 3901248 is about 157.4228798556.

It can be divided in two parts, 39012 and 48, that added together give a triangular number (39060 = T279).

The spelling of 3901248 in words is "three million, nine hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 521 576 624 832 936 1042 1248 1563 1872 2084 2496 3126 3744 4168 4689 6252 6773 7488 8336 9378 12504 13546 16672 18756 20319 25008 27092 33344 37512 40638 50016 54184 60957 75024 81276 100032 108368 121914 150048 162552 216736 243828 300096 325104 433472 487656 650208 975312 1300416 1950624 3901248