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3792409368 = 23311174911721
BaseRepresentation
bin1110001000001011…
…1001001100011000
3100210022002100122020
43202002321030120
530231324044433
61424152254440
7162656643036
oct34202711430
910708070566
103792409368
111676797320
1289a0a1420
1348590a417
1427d957556
15172e1bcb3
hexe20b9318

3792409368 has 128 divisors (see below), whose sum is σ = 10980023040. Its totient is φ = 1078784000.

The previous prime is 3792409343. The next prime is 3792409391. The reversal of 3792409368 is 8639042973.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3792409368.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2202748 + ... + 2204468.

It is an arithmetic number, because the mean of its divisors is an integer number (85781430).

Almost surely, 23792409368 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 3792409368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490011520).

3792409368 is an abundant number, since it is smaller than the sum of its proper divisors (7187613672).

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

3792409368 is a wasteful number, since it uses less digits than its factorization.

3792409368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3792409368 is about 61582.5410972948. The cubic root of 3792409368 is about 1559.4510132694.

The spelling of 3792409368 in words is "three billion, seven hundred ninety-two million, four hundred nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 491 561 748 982 1122 1473 1496 1721 1964 2244 2946 3442 3928 4488 5163 5401 5892 6884 8347 10326 10802 11784 13768 16203 16694 18931 20652 21604 25041 29257 32406 33388 37862 41304 43208 50082 56793 58514 64812 66776 75724 87771 91817 100164 113586 117028 129624 151448 175542 183634 200328 227172 234056 275451 321827 351084 367268 454344 550902 643654 702168 734536 845011 965481 1101804 1287308 1690022 1930962 2203608 2535033 2574616 3380044 3861924 5070066 6760088 7723848 9295121 10140132 14365187 18590242 20280264 27885363 28730374 37180484 43095561 55770726 57460748 74360968 86191122 111541452 114921496 158017057 172382244 223082904 316034114 344764488 474051171 632068228 948102342 1264136456 1896204684 3792409368