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4244292640 = 25574388129
BaseRepresentation
bin1111110011111010…
…1100010000100000
3101221210101101221201
43330332230100200
532143014331030
61541053530544
7210114615010
oct37476542040
911853341851
104244292640
111888879975
129a54a3a54
13528416383
142c3985c40
1519c92d2ca
hexfcfac420

4244292640 has 96 divisors (see below), whose sum is σ = 11726225280. Its totient is φ = 1421328384.

The previous prime is 4244292623. The next prime is 4244292643. The reversal of 4244292640 is 462924424.

It is a happy number.

4244292640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4244292640.

It is not an unprimeable number, because it can be changed into a prime (4244292643) 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, 4096 + ... + 92224.

It is an arithmetic number, because the mean of its divisors is an integer number (122148180).

Almost surely, 24244292640 is an apocalyptic number.

4244292640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863112640).

4244292640 is an abundant number, since it is smaller than the sum of its proper divisors (7481932640).

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

4244292640 is a wasteful number, since it uses less digits than its factorization.

4244292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88194 (or 88186 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 4244292640 is about 65148.2358932304. The cubic root of 4244292640 is about 1619.0804922616.

The spelling of 4244292640 in words is "four billion, two hundred forty-four million, two hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 1120 1204 1376 1505 1720 2408 3010 3440 4816 6020 6880 9632 12040 24080 48160 88129 176258 352516 440645 616903 705032 881290 1233806 1410064 1762580 2467612 2820128 3084515 3525160 3789547 4935224 6169030 7050320 7579094 9870448 12338060 14100640 15158188 18947735 19740896 24676120 26526829 30316376 37895470 49352240 53053658 60632752 75790940 98704480 106107316 121265504 132634145 151581880 212214632 265268290 303163760 424429264 530536580 606327520 848858528 1061073160 2122146320 4244292640