Search a number
-
+
2996644248 = 2334131272801
BaseRepresentation
bin1011001010011101…
…0010100110011000
321201211201022010000
42302213102212120
522114120103443
61213204253000
7134155025103
oct26247224630
97654638100
102996644248
1112a85891a4
126b76a1160
13389aaaca0
14205db173a
1512812e8d3
hexb29d2998

2996644248 has 160 divisors (see below), whose sum is σ = 9113448960. Its totient is φ = 914457600.

The previous prime is 2996644237. The next prime is 2996644289. The reversal of 2996644248 is 8424466992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2996644194 and 2996644203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1068448 + ... + 1071248.

It is an arithmetic number, because the mean of its divisors is an integer number (56959056).

Almost surely, 22996644248 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 2996644248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556724480).

2996644248 is an abundant number, since it is smaller than the sum of its proper divisors (6116804712).

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

2996644248 is a wasteful number, since it uses less digits than its factorization.

2996644248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2946 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2996644248 is about 54741.6134946715. The cubic root of 2996644248 is about 1441.7116105754.

The spelling of 2996644248 in words is "two billion, nine hundred ninety-six million, six hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 127 156 162 216 234 254 312 324 351 381 468 508 648 702 762 936 1016 1053 1143 1404 1524 1651 2106 2286 2801 2808 3048 3302 3429 4212 4572 4953 5602 6604 6858 8403 8424 9144 9906 10287 11204 13208 13716 14859 16806 19812 20574 22408 25209 27432 29718 33612 36413 39624 41148 44577 50418 59436 67224 72826 75627 82296 89154 100836 109239 118872 133731 145652 151254 178308 201672 218478 226881 267462 291304 302508 327717 355727 356616 436956 453762 534924 605016 655434 711454 873912 907524 983151 1067181 1069848 1310868 1422908 1815048 1966302 2134362 2621736 2845816 2949453 3201543 3932604 4268724 4624451 5898906 6403086 7865208 8537448 9248902 9604629 11797812 12806172 13873353 18497804 19209258 23595624 25612344 27746706 28813887 36995608 38418516 41620059 55493412 57627774 76837032 83240118 110986824 115255548 124860177 166480236 230511096 249720354 332960472 374580531 499440708 749161062 998881416 1498322124 2996644248