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3853406648 = 2372134118443
BaseRepresentation
bin1110010110101110…
…0101000110111000
3100221112212100011202
43211223211012320
530342433003043
61434211513332
7164330262500
oct34553450670
910845770152
103853406648
1116a81694a3
128b65b8848
134954462a0
14287ab4a00
1517846a1b8
hexe5ae51b8

3853406648 has 96 divisors (see below), whose sum is σ = 9272536560. Its totient is φ = 1487162880.

The previous prime is 3853406647. The next prime is 3853406651. The reversal of 3853406648 is 8466043583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853406647) 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 23 ways as a sum of consecutive naturals, for example, 199715 + ... + 218157.

Almost surely, 23853406648 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 3853406648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636268280).

3853406648 is an abundant number, since it is smaller than the sum of its proper divisors (5419129912).

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

3853406648 is a wasteful number, since it uses less digits than its factorization.

3853406648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517 (or 18506 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The square root of 3853406648 is about 62075.8137119442. The cubic root of 3853406648 is about 1567.7673443074.

The spelling of 3853406648 in words is "three billion, eight hundred fifty-three million, four hundred six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 104 164 182 196 287 328 364 392 533 574 637 728 1066 1148 1274 2009 2132 2296 2548 3731 4018 4264 5096 7462 8036 14924 16072 18443 26117 29848 36886 52234 73772 104468 129101 147544 208936 239759 258202 479518 516404 756163 903707 959036 1032808 1512326 1678313 1807414 1918072 3024652 3356626 3614828 5293141 6049304 6713252 7229656 9830119 10586282 11748191 13426504 19660238 21172564 23496382 37051987 39320476 42345128 46992764 68810833 74103974 78640952 93985528 137621666 148207948 275243332 296415896 481675831 550486664 963351662 1926703324 3853406648