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3683882496 = 2937794337
BaseRepresentation
bin1101101110010011…
…1001011000000000
3100111201212121202110
43123210321120000
530021033214441
61405314215320
7160201325130
oct33344713000
910451777673
103683882496
111620501498
12869884540
1346929c738
1426d386ac0
15168630b16
hexdb939600

3683882496 has 160 divisors (see below), whose sum is σ = 11360701440. Its totient is φ = 1038974976.

The previous prime is 3683882491. The next prime is 3683882519. The reversal of 3683882496 is 6942883863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683882491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847240 + ... + 851576.

It is an arithmetic number, because the mean of its divisors is an integer number (71004384).

Almost surely, 23683882496 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 3683882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680350720).

3683882496 is an abundant number, since it is smaller than the sum of its proper divisors (7676818944).

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

3683882496 is an equidigital number, since it uses as much as digits as its factorization.

3683882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4428 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 3683882496 is about 60694.9956421450. The cubic root of 3683882496 is about 1544.4312825996.

The spelling of 3683882496 in words is "three billion, six hundred eighty-three million, eight hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 512 553 632 672 768 896 948 1106 1264 1344 1536 1659 1792 1896 2212 2528 2688 3318 3584 3792 4337 4424 5056 5376 6636 7584 8674 8848 10112 10752 13011 13272 15168 17348 17696 20224 26022 26544 30336 30359 34696 35392 40448 52044 53088 60672 60718 69392 70784 91077 104088 106176 121344 121436 138784 141568 182154 208176 212352 242872 277568 283136 342623 364308 416352 424704 485744 555136 685246 728616 832704 849408 971488 1027869 1110272 1370492 1457232 1665408 1942976 2055738 2220544 2398361 2740984 2914464 3330816 3885952 4111476 4796722 5481968 5828928 6661632 7195083 7771904 8222952 9593444 10963936 11657856 14390166 15543808 16445904 19186888 21927872 23315712 28780332 32891808 38373776 43855744 46631424 57560664 65783616 76747552 87711488 115121328 131567232 153495104 175422976 230242656 263134464 306990208 460485312 526268928 613980416 920970624 1227960832 1841941248 3683882496