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4430255412 = 22311294212749
BaseRepresentation
bin1000010000001000…
…00101010100110100
3102102202022021220210
410020010011110310
533033121133122
62011335425420
7214533356352
oct41004052464
912382267823
104430255412
111973844510
12a37825270
13557ac730b
143005527d2
151ade1340c
hex108105534

4430255412 has 96 divisors (see below), whose sum is σ = 11697840000. Its totient is φ = 1292659200.

The previous prime is 4430255407. The next prime is 4430255413. The reversal of 4430255412 is 2145520344.

It is a self number, because there is not a number n which added to its sum of digits gives 4430255412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430255413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610214 + ... + 1612962.

It is an arithmetic number, because the mean of its divisors is an integer number (121852500).

Almost surely, 24430255412 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 4430255412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848920000).

4430255412 is an abundant number, since it is smaller than the sum of its proper divisors (7267584588).

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

4430255412 is a wasteful number, since it uses less digits than its factorization.

4430255412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4430255412 is about 66560.1638519618. The cubic root of 4430255412 is about 1642.3898594739.

Adding to 4430255412 its reverse (2145520344), we get a palindrome (6575775756).

The spelling of 4430255412 in words is "four billion, four hundred thirty million, two hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 421 638 842 957 1263 1276 1684 1914 2526 2749 3828 4631 5052 5498 8247 9262 10996 12209 13893 16494 18524 24418 27786 30239 32988 36627 48836 55572 60478 73254 79721 90717 120956 134299 146508 159442 181434 239163 268598 318884 362868 402897 478326 537196 805794 876931 956652 1157329 1611588 1753862 2314658 2630793 3471987 3507724 4629316 5261586 6943974 10523172 12730619 13887948 25461238 33562541 38191857 50922476 67125082 76383714 100687623 134250164 152767428 201375246 369187951 402750492 738375902 1107563853 1476751804 2215127706 4430255412