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5077296 = 243372373
BaseRepresentation
bin10011010111100100110000
3100112221202000
4103113210300
52244433141
6300454000
761104420
oct23274460
910487660
105077296
112958714
12184a300
13108a023
14962480
156a45b6
hex4d7930

5077296 has 160 divisors (see below), whose sum is σ = 17617920. Its totient is φ = 1368576.

The previous prime is 5077283. The next prime is 5077297. The reversal of 5077296 is 6927705.

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 5077296.

It is not an unprimeable number, because it can be changed into a prime (5077297) 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 31 ways as a sum of consecutive naturals, for example, 69516 + ... + 69588.

It is an arithmetic number, because the mean of its divisors is an integer number (110112).

Almost surely, 25077296 is an apocalyptic number.

5077296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808960).

5077296 is an abundant number, since it is smaller than the sum of its proper divisors (12540624).

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

5077296 is a wasteful number, since it uses less digits than its factorization.

5077296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5077296 is about 2253.2856010724. The cubic root of 5077296 is about 171.8742545863.

The spelling of 5077296 in words is "five million, seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 73 84 92 108 112 126 138 144 146 161 168 184 189 207 216 219 252 276 292 322 336 368 378 414 432 438 483 504 511 552 584 621 644 657 756 828 876 966 1008 1022 1104 1168 1242 1288 1314 1449 1512 1533 1656 1679 1752 1932 1971 2044 2484 2576 2628 2898 3024 3066 3312 3358 3504 3864 3942 4088 4347 4599 4968 5037 5256 5796 6132 6716 7728 7884 8176 8694 9198 9936 10074 10512 11592 11753 12264 13432 13797 15111 15768 17388 18396 20148 23184 23506 24528 26864 27594 30222 31536 34776 35259 36792 40296 45333 47012 55188 60444 69552 70518 73584 80592 90666 94024 105777 110376 120888 141036 181332 188048 211554 220752 241776 282072 317331 362664 423108 564144 634662 725328 846216 1269324 1692432 2538648 5077296