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3973707936 = 253311418109
BaseRepresentation
bin1110110011011001…
…1111100010100000
3101020221020021112000
43230312133202200
531114232123221
61454150204000
7200320650222
oct35466374240
911227207460
103973707936
11175a066650
1292a953600
134b4347393
14299a6c412
15183ccee26
hexecd9f8a0

3973707936 has 96 divisors (see below), whose sum is σ = 12643646400. Its totient is φ = 1204151040.

The previous prime is 3973707931. The next prime is 3973707961. The reversal of 3973707936 is 6397073793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3973707931) 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, 199551 + ... + 218558.

It is an arithmetic number, because the mean of its divisors is an integer number (131704650).

Almost surely, 23973707936 is an apocalyptic number.

3973707936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3973707936 is an abundant number, since it is smaller than the sum of its proper divisors (8669938464).

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

3973707936 is a wasteful number, since it uses less digits than its factorization.

3973707936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418139 (or 418125 counting only the distinct ones).

The product of its (nonzero) digits is 4500846, while the sum is 54.

The square root of 3973707936 is about 63037.3534977477. The cubic root of 3973707936 is about 1583.9153995220.

The spelling of 3973707936 in words is "three billion, nine hundred seventy-three million, seven hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 418109 836218 1254327 1672436 2508654 3344872 3762981 4599199 5017308 6689744 7525962 9198398 10034616 11288943 13379488 13797597 15051924 18396796 20069232 22577886 27595194 30103848 36793592 40138464 41392791 45155772 55190388 60207696 73587184 82785582 90311544 110380776 120415392 124178373 147174368 165571164 180623088 220761552 248356746 331142328 361246176 441523104 496713492 662284656 993426984 1324569312 1986853968 3973707936