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2482074936 = 23321121716759
BaseRepresentation
bin1001001111110001…
…0111010100111000
320101222110110201100
42103330113110320
520040402344221
61050143251400
7115336201035
oct22374272470
96358413640
102482074936
111064080700
125932a9b60
133072c45c3
1419790638c
15e7d89926
hex93f17538

2482074936 has 144 divisors (see below), whose sum is σ = 7824070800. Its totient is φ = 707857920.

The previous prime is 2482074893. The next prime is 2482074943. The reversal of 2482074936 is 6394702842.

It is a junction number, because it is equal to n+sod(n) for n = 2482074891 and 2482074900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139725 + ... + 156483.

It is an arithmetic number, because the mean of its divisors is an integer number (54333825).

Almost surely, 22482074936 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 2482074936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912035400).

2482074936 is an abundant number, since it is smaller than the sum of its proper divisors (5341995864).

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

2482074936 is a wasteful number, since it uses less digits than its factorization.

2482074936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16810 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2482074936 is about 49820.4268949996. The cubic root of 2482074936 is about 1353.9572840667.

The spelling of 2482074936 in words is "two billion, four hundred eighty-two million, seventy-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 121 132 136 153 187 198 204 242 264 306 363 374 396 408 484 561 612 726 748 792 968 1089 1122 1224 1452 1496 1683 2057 2178 2244 2904 3366 4114 4356 4488 6171 6732 8228 8712 12342 13464 16456 16759 18513 24684 33518 37026 49368 50277 67036 74052 100554 134072 148104 150831 184349 201108 284903 301662 368698 402216 553047 569806 603324 737396 854709 1106094 1139612 1206648 1474792 1659141 1709418 2027839 2212188 2279224 2564127 3133933 3318282 3418836 4055678 4424376 5128254 6083517 6267866 6636564 6837672 8111356 9401799 10256508 12167034 12535732 13273128 16222712 18250551 18803598 20513016 24334068 25071464 28205397 34473263 36501102 37607196 48668136 56410794 68946526 73002204 75214392 103419789 112821588 137893052 146004408 206839578 225643176 275786104 310259367 413679156 620518734 827358312 1241037468 2482074936