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4749264 = 2432134359
BaseRepresentation
bin10010000111011111010000
322221021202200
4102013133100
52203434024
6245443200
755240152
oct22073720
98837680
104749264
112754213
121710500
13ca3920
148b8ad2
1563c2c9
hex4877d0

4749264 has 120 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 1403136.

The previous prime is 4749263. The next prime is 4749271. The reversal of 4749264 is 4629474.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4749263) 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 23 ways as a sum of consecutive naturals, for example, 80467 + ... + 80525.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

Almost surely, 24749264 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 4749264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447440).

4749264 is an abundant number, since it is smaller than the sum of its proper divisors (10145616).

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

4749264 is a wasteful number, since it uses less digits than its factorization.

4749264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4749264 is about 2179.2806152490. The cubic root of 4749264 is about 168.0900877375.

It can be divided in two parts, 4749 and 264, that multiplied together give a triangular number (1253736 = T1583).

The spelling of 4749264 in words is "four million, seven hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 59 72 78 86 104 117 118 129 144 156 172 177 208 234 236 258 312 344 354 387 468 472 516 531 559 624 688 708 767 774 936 944 1032 1062 1118 1416 1534 1548 1677 1872 2064 2124 2236 2301 2537 2832 3068 3096 3354 4248 4472 4602 5031 5074 6136 6192 6708 6903 7611 8496 8944 9204 10062 10148 12272 13416 13806 15222 18408 20124 20296 22833 26832 27612 30444 32981 36816 40248 40592 45666 55224 60888 65962 80496 91332 98943 110448 121776 131924 182664 197886 263848 296829 365328 395772 527696 593658 791544 1187316 1583088 2374632 4749264