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4252449120 = 253520034423
BaseRepresentation
bin1111110101110111…
…0011100101100000
3101222100201210112120
43331131303211200
532202111332440
61541544424240
7210244135563
oct37535634540
911870653476
104252449120
11189243aa67
129a8178080
1352a010aaa
142c4aaa4da
1519d4dedd0
hexfd773960

4252449120 has 96 divisors (see below), whose sum is σ = 13404932352. Its totient is φ = 1133164032.

The previous prime is 4252449119. The next prime is 4252449143. The reversal of 4252449120 is 219442524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 959229 + ... + 963651.

It is an arithmetic number, because the mean of its divisors is an integer number (139634712).

Almost surely, 24252449120 is an apocalyptic number.

4252449120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4252449120 is an abundant number, since it is smaller than the sum of its proper divisors (9152483232).

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

4252449120 is a wasteful number, since it uses less digits than its factorization.

4252449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4252449120 is about 65210.8052396227. The cubic root of 4252449120 is about 1620.1169859124.

The spelling of 4252449120 in words is "four billion, two hundred fifty-two million, four hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2003 4006 4423 6009 8012 8846 10015 12018 13269 16024 17692 20030 22115 24036 26538 30045 32048 35384 40060 44230 48072 53076 60090 64096 66345 70768 80120 88460 96144 106152 120180 132690 141536 160240 176920 192288 212304 240360 265380 320480 353840 424608 480720 530760 707680 961440 1061520 2123040 8859269 17718538 26577807 35437076 44296345 53155614 70874152 88592690 106311228 132889035 141748304 177185380 212622456 265778070 283496608 354370760 425244912 531556140 708741520 850489824 1063112280 1417483040 2126224560 4252449120