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1961818752 = 273103193257
BaseRepresentation
bin111010011101110…
…1111101010000000
312001201111201101210
41310323233222000
513004211200002
6522400330120
766421120125
oct16473575200
95051451353
101961818752
11917439513
12469013940
132535995ca
1414879a74c
15b736e96c
hex74eefa80

1961818752 has 128 divisors (see below), whose sum is σ = 5309516160. Its totient is φ = 641728512.

The previous prime is 1961818721. The next prime is 1961818757. The reversal of 1961818752 is 2578181691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1961818757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7633408 + ... + 7633664.

It is an arithmetic number, because the mean of its divisors is an integer number (41480595).

Almost surely, 21961818752 is an apocalyptic number.

1961818752 is a gapful number since it is divisible by the number (12) 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 1961818752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654758080).

1961818752 is an abundant number, since it is smaller than the sum of its proper divisors (3347697408).

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

1961818752 is a wasteful number, since it uses less digits than its factorization.

1961818752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its digits is 241920, while the sum is 48.

The square root of 1961818752 is about 44292.4231895253. The cubic root of 1961818752 is about 1251.8519220462.

The spelling of 1961818752 in words is "one billion, nine hundred sixty-one million, eight hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 193 206 257 309 384 386 412 514 579 618 771 772 824 1028 1158 1236 1542 1544 1648 2056 2316 2472 3084 3088 3296 4112 4632 4944 6168 6176 6592 8224 9264 9888 12336 12352 13184 16448 18528 19776 19879 24672 24704 26471 32896 37056 39552 39758 49344 49601 52942 59637 74112 79413 79516 98688 99202 105884 119274 148803 158826 159032 198404 211768 238548 297606 317652 318064 396808 423536 477096 595212 635304 636128 793616 847072 954192 1190424 1270608 1272256 1587232 1694144 1908384 2380848 2541216 2544512 3174464 3388288 3816768 4761696 5082432 5108903 6348928 7633536 9523392 10164864 10217806 15326709 19046784 20435612 30653418 40871224 61306836 81742448 122613672 163484896 245227344 326969792 490454688 653939584 980909376 1961818752