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5067756 = 22321931239
BaseRepresentation
bin10011010101001111101100
3100112110122200
4103111033230
52244132011
6300341500
761034541
oct23251754
910473580
105067756
112951531
121844890
131085895
1495cbc8
156a1856
hex4d53ec

5067756 has 72 divisors (see below), whose sum is σ = 13977600. Its totient is φ = 1542240.

The previous prime is 5067739. The next prime is 5067757. The reversal of 5067756 is 6577605.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5067756.

It is not an unprimeable number, because it can be changed into a prime (5067757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21085 + ... + 21323.

Almost surely, 25067756 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 5067756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988800).

5067756 is an abundant number, since it is smaller than the sum of its proper divisors (8909844).

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

5067756 is a wasteful number, since it uses less digits than its factorization.

5067756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5067756 is about 2251.1676969964. The cubic root of 5067756 is about 171.7665392182.

The spelling of 5067756 in words is "five million, sixty-seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 239 279 342 372 478 558 589 684 717 956 1116 1178 1434 1767 2151 2356 2868 3534 4302 4541 5301 7068 7409 8604 9082 10602 13623 14818 18164 21204 22227 27246 29636 40869 44454 54492 66681 81738 88908 133362 140771 163476 266724 281542 422313 563084 844626 1266939 1689252 2533878 5067756