Search a number
-
+
3797924416 = 261113616803
BaseRepresentation
bin1110001001011111…
…1011101001000000
3100210200110112212021
43202113323221000
530234232040131
61424510411224
7163054552636
oct34227735100
910720415767
103797924416
111679913910
1289bb00b14
13486abb770
14280591356
1517365ae11
hexe25fba40

3797924416 has 112 divisors (see below), whose sum is σ = 9000548928. Its totient is φ = 1567180800.

The previous prime is 3797924407. The next prime is 3797924437. The reversal of 3797924416 is 6144297973.

3797924416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554871 + ... + 561673.

It is an arithmetic number, because the mean of its divisors is an integer number (80362044).

Almost surely, 23797924416 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 3797924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500274464).

3797924416 is an abundant number, since it is smaller than the sum of its proper divisors (5202624512).

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

3797924416 is a wasteful number, since it uses less digits than its factorization.

3797924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6890 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The square root of 3797924416 is about 61627.3025208795. The cubic root of 3797924416 is about 1560.2065823288.

The spelling of 3797924416 in words is "three billion, seven hundred ninety-seven million, nine hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 61 64 88 104 122 143 176 208 244 286 352 416 488 572 671 704 793 832 976 1144 1342 1586 1952 2288 2684 3172 3904 4576 5368 6344 6803 8723 9152 10736 12688 13606 17446 21472 25376 27212 34892 42944 50752 54424 69784 74833 88439 108848 139568 149666 176878 217696 279136 299332 353756 414983 435392 558272 598664 707512 829966 972829 1197328 1415024 1659932 1945658 2394656 2830048 3319864 3891316 4564813 4789312 5394779 5660096 6639728 7782632 9129626 10789558 13279456 15565264 18259252 21579116 26558912 31130528 36518504 43158232 59342569 62261056 73037008 86316464 118685138 146074016 172632928 237370276 292148032 345265856 474740552 949481104 1898962208 3797924416