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4097688444 = 2232229497051
BaseRepresentation
bin1111010000111101…
…1100001101111100
3101120120112010210200
43310033130031330
531343002012234
61514335403500
7203354530353
oct36417341574
911516463720
104097688444
111813046a83
12964383590
13503c36025
142ac30299a
1518eb1ed99
hexf43dc37c

4097688444 has 36 divisors (see below), whose sum is σ = 10403298360. Its totient is φ = 1359928800.

The previous prime is 4097688433. The next prime is 4097688451. The reversal of 4097688444 is 4448867904.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40976884442 = 33582101168182282272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240282 + ... + 256769.

It is an arithmetic number, because the mean of its divisors is an integer number (288980510).

Almost surely, 24097688444 is an apocalyptic number.

It is an amenable number.

4097688444 is an abundant number, since it is smaller than the sum of its proper divisors (6305609916).

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

4097688444 is a wasteful number, since it uses less digits than its factorization.

4097688444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497290 (or 497285 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4097688444 is about 64013.1896096422. The cubic root of 4097688444 is about 1600.2198192775.

The spelling of 4097688444 in words is "four billion, ninety-seven million, six hundred eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 497051 994102 1491153 1988204 2982306 4473459 5964612 8946918 17893836 113824679 227649358 341474037 455298716 682948074 1024422111 1365896148 2048844222 4097688444