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4766364 = 223447313
BaseRepresentation
bin10010001011101010011100
322222011020000
4102023222130
52210010424
6250054300
755341051
oct22135234
98864200
104766364
112766049
12171a390
13cab645
148c1028
156423c9
hex48ba9c

4766364 has 60 divisors (see below), whose sum is σ = 12765984. Its totient is φ = 1550016.

The previous prime is 4766351. The next prime is 4766369. The reversal of 4766364 is 4636674.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15072 + ... + 15384.

Almost surely, 24766364 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 4766364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382992).

4766364 is an abundant number, since it is smaller than the sum of its proper divisors (7999620).

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

4766364 is a wasteful number, since it uses less digits than its factorization.

4766364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 4766364 is about 2183.2004030780. The cubic root of 4766364 is about 168.2915854601.

Subtracting from 4766364 its sum of digits (36), we obtain a triangular number (4766328 = T3087).

The spelling of 4766364 in words is "four million, seven hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 313 324 423 564 626 846 939 1252 1269 1692 1878 2538 2817 3756 3807 5076 5634 7614 8451 11268 14711 15228 16902 25353 29422 33804 44133 50706 58844 88266 101412 132399 176532 264798 397197 529596 794394 1191591 1588788 2383182 4766364