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3873896096 = 25722985193
BaseRepresentation
bin1110011011100110…
…1111011010100000
3100222222102022102012
43212321233122200
530413204133341
61440223012052
7164666400500
oct34671573240
910888368365
103873896096
111708793524
1290143a028
1349976b415
1428a6c9a00
1517a1660eb
hexe6e6f6a0

3873896096 has 72 divisors (see below), whose sum is σ = 9177949620. Its totient is φ = 1602972672.

The previous prime is 3873896093. The next prime is 3873896129. The reversal of 3873896096 is 6906983783.

It can be written as a sum of positive squares in 2 ways, for example, as 3846480400 + 27415696 = 62020^2 + 5236^2 .

It is not an unprimeable number, because it can be changed into a prime (3873896093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2876 + ... + 88068.

Almost surely, 23873896096 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 3873896096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588974810).

3873896096 is an abundant number, since it is smaller than the sum of its proper divisors (5304053524).

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

3873896096 is a wasteful number, since it uses less digits than its factorization.

3873896096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85246 (or 85231 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The square root of 3873896096 is about 62240.6305880652. The cubic root of 3873896096 is about 1570.5411600874.

The spelling of 3873896096 in words is "three billion, eight hundred seventy-three million, eight hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 85193 170386 340772 596351 681544 1192702 1363088 2385404 2470597 2726176 4174457 4770808 4941194 8348914 9541616 9882388 16697828 17294179 19083232 19764776 33395656 34588358 39529552 66791312 69176716 79059104 121059253 133582624 138353432 242118506 276706864 484237012 553413728 968474024 1936948048 3873896096