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4530264 = 2332329283
BaseRepresentation
bin10001010010000001011000
322112011100120
4101102001120
52124432024
6241033240
753335524
oct21220130
98464316
104530264
112614722
121625820
13c2803b
1485cd84
155e7479
hex452058

4530264 has 64 divisors (see below), whose sum is σ = 12268800. Its totient is φ = 1389696.

The previous prime is 4530263. The next prime is 4530271. The reversal of 4530264 is 4620354.

4530264 = T97 + T98 + ... + T303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15867 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (191700).

Almost surely, 24530264 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 4530264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134400).

4530264 is an abundant number, since it is smaller than the sum of its proper divisors (7738536).

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

4530264 is a wasteful number, since it uses less digits than its factorization.

4530264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4530264 is about 2128.4416834858. The cubic root of 4530264 is about 165.4656451845.

The spelling of 4530264 in words is "four million, five hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 283 348 552 566 667 696 849 1132 1334 1698 2001 2264 2668 3396 4002 5336 6509 6792 8004 8207 13018 16008 16414 19527 24621 26036 32828 39054 49242 52072 65656 78108 98484 156216 188761 196968 377522 566283 755044 1132566 1510088 2265132 4530264