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4430842164 = 2232773240859
BaseRepresentation
bin1000010000001100…
…10100100100110100
3102102210102002210100
410020012110210310
533033243422124
62011400154100
7214541352120
oct41006244464
912383362710
104430842164
111974105331
12a37a68930
13557c713c8
14300666580
151adecc1c9
hex108194934

4430842164 has 72 divisors (see below), whose sum is σ = 12975609920. Its totient is φ = 1248607872.

The previous prime is 4430842159. The next prime is 4430842181. The reversal of 4430842164 is 4612480344.

4430842164 is a `hidden beast` number, since 4 + 430 + 8 + 4 + 216 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102034 + ... + 138825.

Almost surely, 24430842164 is an apocalyptic number.

It is an amenable number.

4430842164 is an abundant number, since it is smaller than the sum of its proper divisors (8544767756).

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

4430842164 is a wasteful number, since it uses less digits than its factorization.

4430842164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240949 (or 240944 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4430842164 is about 66564.5713874881. The cubic root of 4430842164 is about 1642.4623634197.

The spelling of 4430842164 in words is "four billion, four hundred thirty million, eight hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396 240859 481718 722577 963436 1445154 1686013 2167731 2890308 3372026 4335462 5058039 6744052 8670924 10116078 15174117 17582707 20232156 30348234 35165414 52748121 60696468 70330828 105496242 123078949 158244363 210992484 246157898 316488726 369236847 492315796 632977452 738473694 1107710541 1476947388 2215421082 4430842164