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3685248 = 27327457
BaseRepresentation
bin1110000011101110000000
320221020012200
432003232000
51420411443
6210553200
743216110
oct16035600
96836180
103685248
112097866
121298800
139c0528
146bd040
154cbdd3
hex383b80

3685248 has 96 divisors (see below), whose sum is σ = 12146160. Its totient is φ = 1050624.

The previous prime is 3685247. The next prime is 3685273. The reversal of 3685248 is 8425863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 39 + 68 + 8 + 59 + 25 + 42 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685247) 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, 7836 + ... + 8292.

Almost surely, 23685248 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 3685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073080).

3685248 is an abundant number, since it is smaller than the sum of its proper divisors (8460912).

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

3685248 is a wasteful number, since it uses less digits than its factorization.

3685248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3685248 is about 1919.6999765588. The cubic root of 3685248 is about 154.4622083707.

The spelling of 3685248 in words is "three million, six hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 457 504 576 672 896 914 1008 1152 1344 1371 1828 2016 2688 2742 3199 3656 4032 4113 5484 6398 7312 8064 8226 9597 10968 12796 14624 16452 19194 21936 25592 28791 29248 32904 38388 43872 51184 57582 58496 65808 76776 87744 102368 115164 131616 153552 175488 204736 230328 263232 307104 409472 460656 526464 614208 921312 1228416 1842624 3685248