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4755040 = 255113263
BaseRepresentation
bin10010001000111001100000
322221120200121
4102020321200
52204130130
6245530024
755263043
oct22107140
98846617
104755040
112758594
121713914
13ca6444
148bac5a
1563dd7a
hex488e60

4755040 has 48 divisors (see below), whose sum is σ = 11376288. Its totient is φ = 1878016.

The previous prime is 4755031. The next prime is 4755061. The reversal of 4755040 is 405574.

It is a super-2 number, since 2×47550402 = 45220810803200, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4754996 and 4755014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17949 + ... + 18211.

It is an arithmetic number, because the mean of its divisors is an integer number (237006).

Almost surely, 24755040 is an apocalyptic number.

4755040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688144).

4755040 is an abundant number, since it is smaller than the sum of its proper divisors (6621248).

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

4755040 is a wasteful number, since it uses less digits than its factorization.

4755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 4755040 is about 2180.6054205197. The cubic root of 4755040 is about 168.1582032053.

The spelling of 4755040 in words is "four million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 263 452 526 565 904 1052 1130 1315 1808 2104 2260 2630 3616 4208 4520 5260 8416 9040 10520 18080 21040 29719 42080 59438 118876 148595 237752 297190 475504 594380 951008 1188760 2377520 4755040