Search a number
-
+
747468 = 2235769
BaseRepresentation
bin10110110011111001100
31101222100000
42312133030
5142404333
624004300
76232131
oct2663714
91358300
10747468
11470647
12300690
132022b7
14156588
15eb713
hexb67cc

747468 has 36 divisors (see below), whose sum is σ = 1961960. Its totient is φ = 248832.

The previous prime is 747463. The next prime is 747493. The reversal of 747468 is 864747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7474682 = 1117416822048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (747463) 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, 588 + ... + 1356.

2747468 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 747468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980980).

747468 is an abundant number, since it is smaller than the sum of its proper divisors (1214492).

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

747468 is a wasteful number, since it uses less digits than its factorization.

747468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 747468 is about 864.5623170136. The cubic root of 747468 is about 90.7536710488.

Subtracting from 747468 its product of digits (37632), we obtain a triangular number (709836 = T1191).

The spelling of 747468 in words is "seven hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 769 972 1538 2307 3076 4614 6921 9228 13842 20763 27684 41526 62289 83052 124578 186867 249156 373734 747468