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3745728 = 26327929
BaseRepresentation
bin1110010010011111000000
321001022011200
432102133000
51424330403
6212141200
743560330
oct16223700
97038150
103745728
112129248
121307800
13a11c0c
146d70c0
154deca3
hex3927c0

3745728 has 84 divisors (see below), whose sum is σ = 12283440. Its totient is φ = 1069056.

The previous prime is 3745723. The next prime is 3745739. The reversal of 3745728 is 8275473.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a junction number, because it is equal to n+sod(n) for n = 3745692 and 3745701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745723) 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, 3568 + ... + 4496.

Almost surely, 23745728 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 3745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141720).

3745728 is an abundant number, since it is smaller than the sum of its proper divisors (8537712).

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

3745728 is a wasteful number, since it uses less digits than its factorization.

3745728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3745728 is about 1935.3883331259. The cubic root of 3745728 is about 155.3026068929.

The spelling of 3745728 in words is "three million, seven hundred forty-five thousand, seven hundred twenty-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 96 112 126 144 168 192 224 252 288 336 448 504 576 672 929 1008 1344 1858 2016 2787 3716 4032 5574 6503 7432 8361 11148 13006 14864 16722 19509 22296 26012 29728 33444 39018 44592 52024 58527 59456 66888 78036 89184 104048 117054 133776 156072 178368 208096 234108 267552 312144 416192 468216 535104 624288 936432 1248576 1872864 3745728