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4765072 = 241331739
BaseRepresentation
bin10010001011010110010000
322222002110011
4102023112100
52204440242
6250044304
755334224
oct22132620
98862404
104765072
112765084
121719694
13caab90
148c0784
15641d17
hex48b590

4765072 has 40 divisors (see below), whose sum is σ = 10277120. Its totient is φ = 2125440.

The previous prime is 4765069. The next prime is 4765073. The reversal of 4765072 is 2705674.

It is a super-2 number, since 2×47650722 = 45411822330368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4765073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6079 + ... + 6817.

It is an arithmetic number, because the mean of its divisors is an integer number (256928).

Almost surely, 24765072 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 4765072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138560).

4765072 is an abundant number, since it is smaller than the sum of its proper divisors (5512048).

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

4765072 is a wasteful number, since it uses less digits than its factorization.

4765072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 4765072 is about 2182.9044871455. The cubic root of 4765072 is about 168.2763780345.

The spelling of 4765072 in words is "four million, seven hundred sixty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 739 806 1478 1612 2956 3224 5912 6448 9607 11824 19214 22909 38428 45818 76856 91636 153712 183272 297817 366544 595634 1191268 2382536 4765072