Search a number
-
+
3758480 = 245114271
BaseRepresentation
bin1110010101100110010000
321001221122222
432111212100
51430232410
6212320212
743642445
oct16254620
97057588
103758480
112137890
121313068
13a1796b
146db9cc
154e3955
hex395990

3758480 has 40 divisors (see below), whose sum is σ = 9535104. Its totient is φ = 1366400.

The previous prime is 3758473. The next prime is 3758483. The reversal of 3758480 is 848573.

3758480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3758480.

It is not an unprimeable number, because it can be changed into a prime (3758483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256 + ... + 3015.

Almost surely, 23758480 is an apocalyptic number.

It is an amenable number.

3758480 is an abundant number, since it is smaller than the sum of its proper divisors (5776624).

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

3758480 is a wasteful number, since it uses less digits than its factorization.

3758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 3758480 is about 1938.6799632740. The cubic root of 3758480 is about 155.4786452756.

The spelling of 3758480 in words is "three million, seven hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4271 8542 17084 21355 34168 42710 46981 68336 85420 93962 170840 187924 234905 341680 375848 469810 751696 939620 1879240 3758480