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5077674 = 2337219101
BaseRepresentation
bin10011010111101010101010
3100112222021000
4103113222222
52244441144
6300455430
761105500
oct23275252
910488230
105077674
112958a28
12184a576
13108a254
14962670
156a4769
hex4d7aaa

5077674 has 96 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 1360800.

The previous prime is 5077673. The next prime is 5077711. The reversal of 5077674 is 4767705.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (5077673) 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 47 ways as a sum of consecutive naturals, for example, 50224 + ... + 50324.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 25077674 is an apocalyptic number.

5077674 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

5077674 is an abundant number, since it is smaller than the sum of its proper divisors (8875926).

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

5077674 is a wasteful number, since it uses less digits than its factorization.

5077674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5077674 is about 2253.3694770277. The cubic root of 5077674 is about 171.8785197736.

The spelling of 5077674 in words is "five million, seventy-seven thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 101 114 126 133 147 171 189 202 266 294 303 342 378 399 441 513 606 707 798 882 909 931 1026 1197 1323 1414 1818 1862 1919 2121 2394 2646 2727 2793 3591 3838 4242 4949 5454 5586 5757 6363 7182 8379 9898 11514 12726 13433 14847 16758 17271 19089 25137 26866 29694 34542 38178 40299 44541 50274 51813 80598 89082 94031 103626 120897 133623 188062 241794 267246 282093 362691 564186 725382 846279 1692558 2538837 5077674